Wikipedia:WikiProject Mathematics/PlanetMath Exchange/11-XX Number theory
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This page provides a list of all articles available at PlanetMath in the following topic:
- 11-XX Number theory.
This list will be periodically updated. Each entry in the list has three fields:
- PM : The first field is the link to the PlanetMath article, along with the article's object ID.
- WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
- Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status | means PM article |
N | not needed |
A | adequately covered |
C | copied |
M | merged |
NC | needs copying |
NM | needs merging |
- Please update the WP and Status fields as appropriate.
- if the WP field is correct please remove the qualifier "guess".
- If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
- If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
- If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.
Don't forget to include the relevant template if you copy over text or feel like an external link is warranted
- {{planetmath|id=|title=}} for copied over text
- {{planetmath reference|id=|title=}} for an external link
See the main page for examples and usage criteria.
One can use the web-based program Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.
11-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- PM: \pi and \pi^2 are irrational, id=6365 -- WP: pi -- Status: N
- PM: arithmetic mean, id=405 -- WP: arithmetic mean -- Status: A
- CryptoDerk 14:29, May 2, 2005 (UTC)
- PM: ceiling, id=346 -- WP: floor function -- Status: A
- CryptoDerk 14:47, May 2, 2005 (UTC)
- PM: computation of powers using Fermat's little theorem, id=3794 -- WP: Fermat's little theorem -- Status: NM
- There should also be a link to the method from Modular arithmetic - AdamSmithee 15:35, 30 December 2005 (UTC)
- PM: congruence, id=101 -- WP: Modular arithmetic -- Status: NM
- Can be used to expand properties AdamSmithee 15:35, 30 December 2005 (UTC)
- CryptoDerk 17:41, May 2, 2005 (UTC)
- CryptoDerk 17:58, May 2, 2005 (UTC)
- PM: Euler phi-function, id=196 -- WP: Euler's phi function -- Status: A
- linas 22:12, 12 Mar 2005 (UTC)
- PM: Euler-Fermat theorem, id=198 -- WP: Euler's theorem -- Status: A
- CryptoDerk 18:00, May 2, 2005 (UTC)
- PM: Fermat's little theorem, id=195 -- WP: Fermat's little theorem -- Status: A
- CryptoDerk 18:09, May 2, 2005 (UTC)
- PM: Fermat's theorem proof, id=223 -- WP: Proofs of Fermat's little theorem#Proof using modular arithmetic -- Status: A
- PM: floor, id=343 -- WP: floor function -- Status: A
- CryptoDerk 20:53, May 2, 2005 (UTC)
- PM: generalization of Euler-Fermat theorem, id=5882 -- WP (none) -- Status: N
- PM: geometric mean, id=407 -- WP: geometric mean -- Status: A
- CryptoDerk 18:27, May 3, 2005 (UTC)
- PM: Goldbach's conjecture, id=1602 -- WP: Goldbach's conjecture -- Status: A
- linas 23:53, 12 Mar 2005 (UTC)
- PM: googolplex, id=2457 -- WP: googolplex -- Status: A
- PM: greatest common divisor, id=248 -- WP: greatest common divisor -- Status: NM
- Could use a remark on generalizing to gcd of more than 2 numbers AdamSmithee 15:35, 30 December 2005 (UTC)
- PM: group theoretic proof of Wilson's theorem, id=4214 -- WP: Wilson theorem -- Status: N
- PM: harmonic mean, id=408 -- WP: harmonic mean -- Status: A
- PM: Jordan's totient function, id=10 -- WP guess: Jordan's totient function -- Status:
- PM: least common multiple, id=5723 -- WP: least common multiple -- Status: NM
- PM: Legendre symbol, id=183 -- WP: Legendre symbol -- Status: A
- linas 22:40, 12 Mar 2005 (UTC)
- PM: mutually coprime, id=5760 -- WP: mutually coprime -- Status: A
- PM: number field, id=1128 -- WP guess: number field -- Status:
- PM: proof of a corollary to Euler-Fermat theorem, id=5884 -- WP guess: proof of a corollary to Euler-Fermat theorem -- Status: N
- PM: proof of Euler-Fermat theorem using Lagrange's theorem, id=5898 -- WP: proof of Euler-Fermat theorem using Lagrange's theorem -- Status: A
- PM: proof of Fermat's little theorem using Lagrange's theorem, id=5895 -- WP: Proofs of Fermat's little theorem#Proof using group theory -- Status: A
- PM: proof of fundamental theorem of arithmetic, id=336 -- WP: fundamental theorem of arithmetic -- Status: A
- linas 00:34, 13 Mar 2005 (UTC)
- PM: Proof of Pythagorean triples, id=5989 -- WP: Pythagorean triplet -- Status: N
- Not a particularly illuminating proof AdamSmithee 13:02, 5 January 2006 (UTC)
- PM: proof of Wilson's theorem, id=1343 -- WP: Wilson theorem -- Status: A
- PM: Pythagorean triplet, id=138 -- WP: Pythagorean triplet -- Status: A
- PM: root of unity, id=351 -- WP guess: root of unity -- Status:
- PM: square, id=1087 -- WP: square number -- Status: A
- CryptoDerk 22:20, Mar 12, 2005 (UTC)
- PM: Wilson's theorem, id=11 -- WP: Wilson's theorem -- Status: A
- linas 23:49, 12 Mar 2005 (UTC)
- PM: Wilson's theorem result, id=5818 -- WP guess: Wilson's theorem result -- Status: N, trite
- PM: \mathrm{lcm}(ma,mb) =m \mathrm{lcm}(a,b), id=6774 -- WP guess: \mathrmlcm(ma,mb) =m \mathrmlcm(a,b) -- Status:
- PM: bibliography for number theory, id=5681 -- WP guess: bibliography for number theory -- Status:
- PM: cyclotomic extension, id=6813 -- WP guess: cyclotomic extension -- Status:
- PM: first primitive Pythagorean triplets, id=7289 -- WP guess: first primitive Pythagorean triplets -- Status:
- PM: Germain prime, id=6131 -- WP: Germain prime -- Status: A
- PM: proof of Wilson's theorem result, id=6856 -- WP guess: proof of Wilson's theorem result -- Status: N
- PM: Sierpinski conjecture, id=4184 -- WP guess: Sierpinski conjecture -- Status:
- PM: square of sum, id=7427 -- WP guess: square of sum -- Status:
- PM: {\mathbb{Z}}_n, id=7985new! -- WP guess: \mathbbZ_n -- Status:
- PM: abelian number field, id=8063new! -- WP guess: abelian number field -- Status:
- PM: Artin's conjecture on primitive roots, id=8485new! -- WP guess: Artin's conjecture on primitive roots -- Status:
- PM: converting a repeating decimal to a fraction, id=9185new! -- WP guess: converting a repeating decimal to a fraction -- Status:
- PM: cyclotomic field, id=9486new! -- WP guess: cyclotomic field -- Status:
- PM: every prime has a primitive root, id=8477new! -- WP guess: every prime has a primitive root -- Status:
- PM: existence and uniqueness of the gcd of two integers, id=8645new! -- WP guess: existence and uniqueness of the gcd of two integers -- Status:
- PM: existence of primitive roots for powers of an odd prime, id=8484new! -- WP guess: existence of primitive roots for powers of an odd prime -- Status:
- PM: extracting every n^\mathrm{th} term of a series, id=8538new! -- WP guess: extracting every n^\mathrmth term of a series -- Status:
- PM: fractional part, id=8338new! -- WP guess: fractional part -- Status:
- PM: Goldbach representations for even 7 < n < 101, id=9805new! -- WP guess: [[Goldbach representations for even 7 < n < 101]] -- Status:
- PM: index of an integer with respect to a primitive root, id=8480new! -- WP guess: index of an integer with respect to a primitive root -- Status:
- PM: integer part, id=8337new! -- WP guess: integer part -- Status:
- PM: moving average, id=8976new! -- WP guess: moving average -- Status:
- PM: multiplicative order of an integer modulo m, id=8476new! -- WP guess: multiplicative order of an integer modulo m -- Status:
- PM: primitive root, id=8133new! -- WP guess: primitive root -- Status:
- PM: properties of primitive roots, id=8479new! -- WP guess: properties of primitive roots -- Status:
- PM: properties of the index of an integer with respect to a primitive root, id=8481new! -- WP guess: properties of the index of an integer with respect to a primitive root -- Status:
- PM: properties of the Legendre symbol, id=8418new! -- WP guess: properties of the Legendre symbol -- Status:
- PM: properties of the multiplicative order of an integer, id=8478new! -- WP guess: properties of the multiplicative order of an integer -- Status:
- PM: Pythagorean n-tuple, id=9198new! -- WP guess: Pythagorean n-tuple -- Status:
- PM: Ramanujan's formula for pi, id=7896new! -- WP guess: Ramanujan's formula for pi -- Status:
- PM: residue systems, id=9221new! -- WP guess: residue systems -- Status:
- PM: result on quadratic nonresidues, id=8207new! -- WP guess: result on quadratic nonresidues -- Status:
- PM: using primitive roots and index to solve congruences, id=8483new! -- WP guess: using primitive roots and index to solve congruences -- Status:
- PM: values of the Legendre symbol, id=8425new! -- WP guess: values of the Legendre symbol -- Status:
11-01 Instructional exposition (textbooks, tutorial papers, etc.)
- PM: base, id=3313 -- WP: Base (mathematics) -- Status: A
- PM: fraction, id=2818 -- WP: fraction (mathematics) -- Status: A
- PM: number theory, id=5541 -- WP guess: number theory -- Status:
- PM: algebraic number theory, id=6878 -- WP guess: algebraic number theory -- Status:
- PM: summed numerator and summed denominator, id=7203 -- WP guess: summed numerator and summed denominator -- Status:
- PM: analytic number theory, id=8025new! -- WP guess: analytic number theory -- Status:
- PM: calculator and CAS support for various positional bases, id=9177new! -- WP guess: calculator and CAS support for various positional bases -- Status:
- PM: decimal fraction, id=9836new! -- WP guess: decimal fraction -- Status:
11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors
- PM: alternative proof of Euclid's lemma, id=5641 -- WP guess: alternative proof of Euclid's lemma -- Status:
- PM: Bezout's lemma (number theory), id=2954 -- WP: Bezout's identity -- Status: A
- linas 00:31, 13 Mar 2005 (UTC)
- PM: Chinese remainder theorem, id=1729 -- WP: Chinese remainder theorem -- Status: A
- linas 23:18, 12 Mar 2005 (UTC)
- PM: corollary of Bézout's lemma, id=6459 -- WP: Bezout's identity -- Status: A
- linas 00:37, 13 Mar 2005 (UTC)
- PM: divisibility by prime number, id=6460 -- WP guess: divisibility by prime number -- Status:
- PM: Euclid's algorithm, id=939 -- WP: Euclid's algorithm -- Status: A
- PM: Euclid's lemma, id=249 -- WP: Euclid's lemma -- Status: A
- PM: Euclid's lemma proof, id=258 -- WP: Euclid's lemma proof -- Status: A
- PM: Euler product, id=5609 -- WP: Euler product -- Status: NM
- linas 23:24, 12 Mar 2005 (UTC)
- PM: fast Euclidean algorithm, id=6014 -- WP guess: fast Euclidean algorithm -- Status:
- PM: fundamental theorem of arithmetic, id=221 -- WP: fundamental theorem of arithmetic -- Status: A
- linas 00:28, 13 Mar 2005 (UTC)
- PM: perfect number, id=206 -- WP guess: perfect number -- Status:
- PM: probability that two positive integers are relatively prime, id=6625 -- WP: coprime -- Status: NM
- Can be used to clarify the affirmation in the WP article, which is already challenged in the Talk section AdamSmithee 21:58, 30 December 2005 (UTC)
- PM: proof of chinese remainder theorem, id=3316 -- WP guess: chinese remainder theorem -- Status: N
- PM: smooth number, id=3855 -- WP: smooth number -- Status: A
- linas 00:40, 13 Mar 2005 (UTC)
- PM: Stern-Brocot tree, id=4361 -- WP: Stern-Brocot tree -- Status: NC
- linas 23:14, 12 Mar 2005 (UTC)
- PM: Sturm's theorem, id=6013 -- WP guess: Sturm's theorem -- Status:
- PM: Euclid's coefficients, id=7038 -- WP guess: Euclid's coefficients -- Status:
- PM: Python code to calculate Euclid's coefficients, id=7043 -- WP guess: Python code to calculate Euclid's coefficients -- Status:
- PM: a formula for amicable pairs, id=7876new! -- WP guess: a formula for amicable pairs -- Status:
- PM: abundant number, id=7869new! -- WP guess: abundant number -- Status:
- PM: amicable numbers, id=7875new! -- WP guess: amicable numbers -- Status:
- PM: deficiency, id=9011new! -- WP guess: deficiency -- Status:
- PM: deficient number, id=7868new! -- WP guess: deficient number -- Status:
- PM: determination of abundant numbers with specified prime factors, id=9028new! -- WP guess: determination of abundant numbers with specified prime factors -- Status:
- PM: determination of even abundant numbers with one odd prime factor, id=9031new! -- WP guess: determination of even abundant numbers with one odd prime factor -- Status:
- PM: every even integer greater than 46 is the sum of two abundant numbers, id=8169new! -- WP guess: every even integer greater than 46 is the sum of two abundant numbers -- Status:
- PM: every sufficiently large even integer can be expressed as the sum of a pair of abundant numbers, id=9014new! -- WP guess: every sufficiently large even integer can be expressed as the sum of a pair of abundant numbers -- Status:
- PM: formula for sum of divisors, id=9026new! -- WP guess: formula for sum of divisors -- Status:
- PM: Ore number, id=7950new! -- WP guess: Ore number -- Status:
- PM: positive multiple of a semiperfect number is also semiperfect, id=8441new! -- WP guess: positive multiple of a semiperfect number is also semiperfect -- Status:
- PM: positive multiple of an abundant number is abundant, id=8400new! -- WP guess: positive multiple of an abundant number is abundant -- Status:
- PM: quasiperfect number, id=8160new! -- WP guess: quasiperfect number -- Status:
- PM: sphenic number, id=8262new! -- WP guess: sphenic number -- Status:
- PM: Thabit number, id=7882new! -- WP guess: Thabit number -- Status:
- PM: theorem on multiples of abundant numbers, id=8158new! -- WP guess: theorem on multiples of abundant numbers -- Status:
- PM: unitary perfect number, id=8453new! -- WP guess: unitary perfect number -- Status:
- PM: untouchable number, id=7855new! -- WP guess: untouchable number -- Status:
11A07 Congruences; primitive roots; residue systems
- PM: Anton's congruence, id=3914 -- WP guess: Anton's congruence -- Status:
- PM: calculating the Jacobi symbol, id=6604 -- WP guess: Jacobi symbol -- Status: NM
- PM: factorial modulo prime powers, id=3915 -- WP guess: factorial modulo prime powers -- Status:
- PM: Fermat's Little Theorem proof (Inductive), id=312 -- WP: Proofs of Fermat's little theorem#Proof using the binomial theorem -- Status: A
- PM: Jacobi symbol, id=2863 -- WP: Jacobi symbol -- Status: A
- linas 22:37, 12 Mar 2005 (UTC)
- PM: Kronecker symbol, id=6108 -- WP: Kronecker symbol -- Status: C
- Still needs TeX attention beyond my abilities. Jtwdog 17:33, 28 October 2005 (UTC)
- PM: polynomial congruence, id=5894 -- WP guess: polynomial congruence -- Status:
- PM: proof of Euler-Fermat theorem, id=335 -- WP: Euler-Fermat theorem -- Status: NM
- PM article has a better wording than WP AdamSmithee 21:58, 30 December 2005 (UTC)
- PM: proof of Lucas's theorem, id=3917 -- WP guess: proof of Lucas's theorem -- Status:
- PM: Shanks-Tonelli algorithm, id=621 -- WP guess: Shanks-Tonelli algorithm -- Status:
- PM: Wieferich prime, id=4575 -- WP: Wieferich prime -- Status: A
- linas 00:45, 13 Mar 2005 (UTC)
- PM: Wilson's theorem for prime powers, id=3899 -- WP guess: Wilson's theorem for prime powers -- Status:
- PM: prime residue class, id=7668new! -- WP guess: prime residue class -- Status:
11A15 Power residues, reciprocity
- PM: cubic reciprocity law, id=4363 -- WP guess: cubic reciprocity law -- Status:
- PM: discrete logarithm, id=6592 -- WP: discrete logarithm -- Status: NM
- linas 23:26, 12 Mar 2005 (UTC)
- PM: Euler's criterion, id=1965 -- WP: Euler's criterion -- Status: A
- PM: Gauss' lemma, id=1955 -- WP guess: Gauss' lemma -- Status:
- PM: proof of Euler's criterion, id=2980 -- WP: Euler's criterion -- Status: NM
- WP proof never actually shows that if a is not a quadratic residue mod p then a(p − 1)/2 ≡ −1 (mod p), so it could be combined with the PM proof AdamSmithee 14:06, 5 January 2006 (UTC)
- PM: proof of quadratic reciprocity rule, id=3752 -- WP guess: proof of quadratic reciprocity rule -- Status:
- PM: quadratic character of 2, id=4737 -- WP guess: quadratic character of 2 -- Status:
- PM: quadratic reciprocity for polynomials, id=1488 -- WP guess: quadratic reciprocity for polynomials -- Status:
- PM: quadratic reciprocity rule, id=12 -- WP guess: quadratic reciprocity rule -- Status:
- PM: quadratic residue, id=622 -- WP: quadratic residue -- Status: A
- linas 00:56, 13 Mar 2005 (UTC)
- PM: Zolotarev's lemma, id=4043 -- WP guess: Zolotarev's lemma -- Status:
- PM: cases when minus one is a quadratic residue, id=8424new! -- WP guess: cases when minus one is a quadratic residue -- Status:
11A25 Arithmetic functions; related numbers; inversion formulas
- PM: arithmetic function, id=4584 -- WP: Dirichlet convolution -- Status: A
- PM: character of a finite group, id=5600 -- WP guess: character of a finite group -- Status:
- PM: Dirichlet character, id=3906 -- WP: Dirichlet character -- Status: A
- linas 22:35, 12 Mar 2005 (UTC)
- PM: Liouville function, id=257 -- WP: Liouville function -- Status: A
- linas 22:55, 12 Mar 2005 (UTC)
- PM: Mangoldt function, id=256 -- WP: Mangoldt function -- Status: A
- PM: Mertens' first theorem, id=222 -- WP guess: Mertens' first theorem -- Status:
- PM: Moebius function, id=253 -- WP: Moebius function -- Status: A
- linas 22:57, 12 Mar 2005 (UTC)
- PM: Moebius inversion, id=252 -- WP: Moebius inversion formula -- Status: NM
- linas 23:04, 12 Mar 2005 (UTC)
- PM: multiplicative function, id=3097 -- WP: multiplicative function -- Status: A
- linas 23:01, 12 Mar 2005 (UTC)
- PM: non-multiplicative function, id=3098 -- WP: Multiplicative function -- Status: NM
- PM has some more examples which could be used AdamSmithee 14:23, 5 January 2006 (UTC)
- PM: practical number, id=5637 -- WP guess: practical number -- Status:
- PM: prime counting function, id=3138 -- WP: prime-counting function -- Status: A
- linas 23:11, 12 Mar 2005 (UTC)
- PM: prime difference function, id=3143 -- WP guess: prime difference function -- Status: A
- PM: square root, id=747 -- WP: square root -- Status: A
- linas 01:14, 13 Mar 2005 (UTC)
- PM: sum of \frac{\mu(n)}{n}, id=5938 -- WP guess: sum of \frac\mu(n)n -- Status:
- PM: the sum of the values of a character of a finite group is 0, id=5601 -- WP guess: the sum of the values of a character of a finite group is 0 -- Status:
- WP redirect to be removed linas 23:08, 12 Mar 2005 (UTC)
- PM: uniqueness of Moebius function, id=5745 -- WP guess: uniqueness of Moebius function -- Status:
- PM: proof that Euler \phi is a multiplicative function, id=6781 -- WP guess: proof that Euler \phi is a multiplicative function -- Status:
- PM: proof that number of positive divisors is a multiplicative function, id=6783 -- WP guess: proof that number of positive divisors is a multiplicative function -- Status:
- PM: square root of square root binomial, id=7178 -- WP guess: square root of square root binomial -- Status:
- PM: 2^{\omega(n)} \le \tau(n) \le 2^{\Omega(n)}, id=8194new! -- WP guess: 2^\omega(n) \le \tau(n) \le 2^\Omega(n) -- Status:
- PM: \sigma function, id=8188new! -- WP guess: \sigma function -- Status:
- PM: additive function, id=8184new! -- WP guess: additive function -- Status:
- PM: aliquot sequence, id=8189new! -- WP guess: aliquot sequence -- Status:
- PM: alternate proof of Möbius inversion formula, id=8684new! -- WP guess: alternate proof of Möbius inversion formula -- Status:
- PM: arithmetic functions form a ring, id=8683new! -- WP guess: arithmetic functions form a ring -- Status:
- PM: Bombieri-Vinogradov theorem, id=8578new! -- WP guess: Bombieri-Vinogradov theorem -- Status:
- PM: Carmichael function, id=9557new! -- WP guess: Carmichael function -- Status:
- PM: completely multiplicative functions whose convolution inverses are completely multiplicative, id=9182new! -- WP guess: completely multiplicative functions whose convolution inverses are completely multiplicative -- Status:
- PM: composition of multiplicative functions, id=8247new! -- WP guess: composition of multiplicative functions -- Status:
- PM: convolution inverses for arithmetic functions, id=7992new! -- WP guess: convolution inverses for arithmetic functions -- Status:
- PM: criterion for a multiplicative function to be completely multiplicative, id=7995new! -- WP guess: criterion for a multiplicative function to be completely multiplicative -- Status:
- PM: divisor sum of an arithmetic function, id=9428new! -- WP guess: divisor sum of an arithmetic function -- Status:
- PM: elementary results about multiplicative functions and convolution, id=8197new! -- WP guess: elementary results about multiplicative functions and convolution -- Status:
- PM: every positive integer greater than 30 has at least one composite totative, id=9247new! -- WP guess: every positive integer greater than 30 has at least one composite totative -- Status:
- PM: examples of aliquot sequences, id=8237new! -- WP guess: examples of aliquot sequences -- Status:
- PM: examples of perfect totient numbers, id=8829new! -- WP guess: examples of perfect totient numbers -- Status:
- PM: existence of square roots of non-negative real numbers, id=8727new! -- WP guess: existence of square roots of non-negative real numbers -- Status:
- PM: formula for the convolution inverse of a completely multiplicative function, id=9181new! -- WP guess: formula for the convolution inverse of a completely multiplicative function -- Status:
- PM: iterated sum of divisors function, id=9351new! -- WP guess: iterated sum of divisors function -- Status:
- PM: iterated totient function, id=8737new! -- WP guess: iterated totient function -- Status:
- PM: Mertens conjecture, id=8130new! -- WP guess: Mertens conjecture -- Status:
- PM: Mertens function, id=7836new! -- WP guess: Mertens function -- Status:
- PM: noncototient, id=7938new! -- WP guess: noncototient -- Status:
- PM: nonprincipal real characters \mod p are unique, id=8772new! -- WP guess: nonprincipal real characters \mod p are unique -- Status:
- PM: nontotient, id=7840new! -- WP guess: nontotient -- Status:
- PM: number of (nondistinct) prime factors function, id=8183new! -- WP guess: number of (nondistinct) prime factors function -- Status:
- PM: number of distinct prime factors function, id=8180new! -- WP guess: number of distinct prime factors function -- Status:
- PM: perfect totient number, id=8741new! -- WP guess: perfect totient number -- Status:
- PM: pointwise multiplication of a completely multiplicative function distibutes over convolution, id=8022new! -- WP guess: pointwise multiplication of a completely multiplicative function distibutes over convolution -- Status:
- PM: proof of the correspondence between even 2-superperfect numbers and Mersenne primes, id=9355new! -- WP guess: proof of the correspondence between even 2-superperfect numbers and Mersenne primes -- Status:
- PM: proof that 4^x exceeds the product of the primes up to x, id=9373new! -- WP guess: proof that 4^x exceeds the product of the primes up to x -- Status:
- PM: proof that 3 is the only prime perfect totient number, id=8765new! -- WP guess: proof that 3 is the only prime perfect totient number -- Status:
- PM: proof that all powers of 3 are perfect totient numbers, id=8766new! -- WP guess: proof that all powers of 3 are perfect totient numbers -- Status:
- PM: proof that the sum of the iterated totient function is always odd, id=8764new! -- WP guess: proof that the sum of the iterated totient function is always odd -- Status:
- PM: Pólya's conjecture, id=8867new! -- WP guess: Pólya's conjecture -- Status:
- PM: relationship between totatives and divisors, id=9463new! -- WP guess: relationship between totatives and divisors -- Status:
- PM: sparsely totient number, id=9053new! -- WP guess: sparsely totient number -- Status:
- PM: square root of 2, id=9874new! -- WP guess: square root of 2 -- Status:
- PM: square root of 5, id=9855new! -- WP guess: square root of 5 -- Status:
- PM: superperfect number, id=9352new! -- WP guess: superperfect number -- Status:
- PM: totient valence function, id=7832new! -- WP guess: totient valence function -- Status:
- PM: values of 4^n and \displaystyle \prod_{i = 1}^{\pi(n)} p_i for 0 < n < 26, id=9374new! -- WP guess: [[values of 4^n and \displaystyle \prod_i = 1^\pi(n) p_i for 0 < n < 26]] -- Status:
11A41 Primes
- PM: Chebyshev functions, id=4573 -- WP: Chebyshev functions -- Status: A
- PM: composite number, id=2929 -- WP: composite number -- Status: NM
- Composite elements of integral domains AdamSmithee 14:53, 5 January 2006 (UTC)
- PM: Euclid's proof of the infinitude of primes, id=3036 -- WP: Prime number -- Status: A
- PM: Fürstenberg's proof of the infinitude of primes, id=6315 -- WP guess: Fürstenberg's proof of the infinitude of primes -- Status:
- PM: linear congruence, id=5763 -- WP guess: linear congruence -- Status:
- PM: Mangoldt summatory function, id=4020 -- WP: Mangoldt summatory function -- Status: A
- linas 00:58, 13 Mar 2005 (UTC)
- linas 16:26, 4 July 2006 (UTC)
- PM: Mersenne numbers, id=323 -- WP: Mersenne numbers -- Status: A
- linas 00:58, 13 Mar 2005 (UTC)
- PM: partial fractions, id=5761 -- WP guess: partial fractions -- Status:
- PM: prime number theorem, id=199 -- WP guess: prime number theorem -- Status:
- PM: proof of Thue's Lemma, id=3827 -- WP guess: proof of Thue's Lemma -- Status:
- linas 01:02, 13 Mar 2005 (UTC)
- PM: sieve of Eratosthenes, id=2928 -- WP: sieve of Eratosthenes -- Status: A
- PM: test for primality of Mersenne numbers, id=4320 -- WP: Lucas-Lehmer test for Mersenne numbers -- Status: A
- PM: Thue's lemma, id=3826 -- WP guess: Thue's lemma -- Status:
- PM: two small results on Mersenne numbers, id=6874 -- WP guess: two small results on Mersenne numbers -- Status:
- PM: prime constant, id=6749 -- WP guess: prime constant -- Status:
- PM: prime harmonic series, id=6860 -- WP guess: prime harmonic series -- Status:
- PM: first thousand positive prime numbers, id=7281 -- WP guess: first thousand positive prime numbers -- Status:
- PM: Andrica's conjecture, id=8901new! -- WP guess: Andrica's conjecture -- Status:
- PM: balanced prime, id=8811new! -- WP guess: balanced prime -- Status:
- PM: bounds on \pi(n), id=8545new! -- WP guess: bounds on \pi(n) -- Status:
- PM: Brocard's conjecture, id=8890new! -- WP guess: Brocard's conjecture -- Status:
- PM: convexity conjecture, id=8991new! -- WP guess: convexity conjecture -- Status:
- PM: Euler's lucky number, id=9189new! -- WP guess: Euler's lucky number -- Status:
- PM: examples of Pollard's p - 1 algorithm on a few integers, id=8963new! -- WP guess: examples of Pollard's p - 1 algorithm on a few integers -- Status:
- PM: examples of probable primes, id=7899new! -- WP guess: examples of probable primes -- Status:
- PM: examples of the Fermat method on a few integers, id=8863new! -- WP guess: examples of the Fermat method on a few integers -- Status:
- PM: Fermat method, id=8855new! -- WP guess: Fermat method -- Status:
- PM: Gaussian prime, id=9161new! -- WP guess: Gaussian prime -- Status:
- PM: generalized Andrica conjecture, id=9636new! -- WP guess: generalized Andrica conjecture -- Status:
- PM: Higgs prime, id=8939new! -- WP guess: Higgs prime -- Status:
- PM: history of prime numbers, id=9762new! -- WP guess: history of prime numbers -- Status:
- PM: integer factorization, id=8857new! -- WP guess: integer factorization -- Status:
- PM: Legendre's conjecture, id=8840new! -- WP guess: Legendre's conjecture -- Status:
- PM: lucky number, id=9187new! -- WP guess: lucky number -- Status:
- PM: lucky prime, id=9188new! -- WP guess: lucky prime -- Status:
- PM: Mills' constant, id=8920new! -- WP guess: Mills' constant -- Status:
- PM: minimal prime, id=9123new! -- WP guess: minimal prime -- Status:
- PM: Pierpont prime, id=9128new! -- WP guess: Pierpont prime -- Status:
- PM: Pillai prime, id=8739new! -- WP guess: Pillai prime -- Status:
- PM: Pollard's p - 1 algorithm, id=8951new! -- WP guess: Pollard's p - 1 algorithm -- Status:
- PM: Pollard's \rho algorithm, id=8962new! -- WP guess: Pollard's \rho algorithm -- Status:
- PM: prime harmonic series diverges - Chebyshev's proof, id=8544new! -- WP guess: prime harmonic series diverges - Chebyshev's proof -- Status:
- PM: prime magic square, id=8945new! -- WP guess: prime magic square -- Status:
- PM: prime pyramid, id=9283new! -- WP guess: prime pyramid -- Status:
- PM: primorial prime, id=8450new! -- WP guess: primorial prime -- Status:
- PM: probable prime, id=7898new! -- WP guess: probable prime -- Status:
- PM: proof of infinitude of primes, id=9404new! -- WP guess: proof of infinitude of primes -- Status:
- PM: proof that n^2-n+41 is prime for 0\leq n\leq 40, id=9195new! -- WP guess: proof that n^2-n+41 is prime for 0\leq n\leq 40 -- Status:
- PM: Pythagorean prime, id=9155new! -- WP guess: Pythagorean prime -- Status:
- PM: Ramanujan prime, id=8850new! -- WP guess: Ramanujan prime -- Status:
- PM: representing primes as x^2+ny^2, id=7791new! -- WP guess: representing primes as x^2+ny^2 -- Status:
- PM: safe prime, id=7792new! -- WP guess: safe prime -- Status:
- PM: Skewes' number, id=9339new! -- WP guess: Skewes' number -- Status:
- PM: Smarandache constant, id=9642new! -- WP guess: Smarandache constant -- Status:
- PM: Smarandache function, id=9363new! -- WP guess: Smarandache function -- Status:
- PM: strong law of small numbers, id=8270new! -- WP guess: strong law of small numbers -- Status:
- PM: strong prime, id=8768new! -- WP guess: strong prime -- Status:
- PM: table of primes between the first 100 squares, id=8841new! -- WP guess: table of primes between the first 100 squares -- Status:
- PM: trial division, id=8854new! -- WP guess: trial division -- Status:
- PM: Ulam spiral, id=8990new! -- WP guess: Ulam spiral -- Status:
- PM: upper bound on \vartheta(n), id=8246new! -- WP guess: upper bound on \vartheta(n) -- Status:
- PM: values of the prime counting function and estimates for selected inputs, id=8852new! -- WP guess: values of the prime counting function and estimates for selected inputs -- Status:
- PM: weak prime, id=8813new! -- WP guess: weak prime -- Status:
- PM: Wilson prime, id=8885new! -- WP guess: Wilson prime -- Status:
- PM: Wilson's primeth recurrence, id=8290new! -- WP guess: Wilson's primeth recurrence -- Status:
11A51 Factorization; primality
- PM: divisibility, id=923 -- WP guess: divisibility -- Status:
- PM: divisibility by product, id=6513 -- WP guess: divisibility by product -- Status:
- PM: divisibility in rings, id=6322 -- WP guess: divisibility in rings -- Status:
- PM: division algorithm for integers, id=919 -- WP guess: division algorithm for integers -- Status:
- PM: Fermat compositeness test, id=3781 -- WP guess: Fermat compositeness test -- Status:
- PM: Fermat Numbers, id=68 -- WP guess: Fermat Numbers -- Status:
- PM: Fermat Numbers are coprime, id=6529 -- WP guess: Fermat Numbers are coprime -- Status:
- PM: Lucas-Lehmer primality test, id=5910 -- WP: Lucas-Lehmer primality test -- Status: A
- linas 01:08, 13 Mar 2005 (UTC)
- PM: Pollard's \rho, id=2832 -- WP guess: Pollard's rho algorithm -- Status:
- PM: proof of division algorithm for integers, id=3404 -- WP guess: proof of division algorithm for integers -- Status:
- PM: quadratic sieve, id=3121 -- WP guess: quadratic sieve -- Status:
- PM: square-free number, id=636 -- WP guess: square-free number -- Status:
- PM: squarefull number, id=204 -- WP guess: squarefull number -- Status:
- PM: the prime power dividing a factorial, id=3908 -- WP guess: the prime power dividing a factorial -- Status:
- PM: Zsigmondy's theorem, id=3625 -- WP guess: Zsigmondy's theorem -- Status:
- PM: example of gcd, id=7307 -- WP guess: example of gcd -- Status:
- PM: n-free number, id=8089new! -- WP guess: n-free number -- Status:
- PM: n-full number, id=8098new! -- WP guess: n-full number -- Status:
- PM: Achilles number, id=9489new! -- WP guess: Achilles number -- Status:
- PM: Cullen number, id=9719new! -- WP guess: Cullen number -- Status:
- PM: Cullen prime, id=9720new! -- WP guess: Cullen prime -- Status:
- PM: eliminated Sierpiński number candidates, id=9712new! -- WP guess: eliminated Sierpiński number candidates -- Status:
- PM: Erdős-Selfridge classification of primes, id=8143new! -- WP guess: Erdős-Selfridge classification of primes -- Status:
- PM: Euler pseudoprime, id=9070new! -- WP guess: Euler pseudoprime -- Status:
- PM: exactly divides, id=8266new! -- WP guess: exactly divides -- Status:
- PM: Knödel number, id=8181new! -- WP guess: Knödel number -- Status:
- PM: proper divisor, id=7859new! -- WP guess: proper divisor -- Status:
- PM: Proth number, id=9710new! -- WP guess: Proth number -- Status:
- PM: Proth prime, id=9711new! -- WP guess: Proth prime -- Status:
- PM: pseudoprime, id=9068new! -- WP guess: pseudoprime -- Status:
- PM: restricted divisors of the first 1000 positive integers, id=9131new! -- WP guess: restricted divisors of the first 1000 positive integers -- Status:
- PM: Ruth-Aaron pair, id=8187new! -- WP guess: Ruth-Aaron pair -- Status:
- PM: table of pseudoprimes below 2000 in bases 2 to 16, id=9081new! -- WP guess: table of pseudoprimes below 2000 in bases 2 to 16 -- Status:
- PM: table of small Knödel numbers K_n for 0 < n < 26, id=9633new! -- WP guess: [[table of small Knödel numbers K_n for 0 < n < 26]] -- Status:
- PM: unitary divisor, id=9144new! -- WP guess: unitary divisor -- Status:
11A55 Continued fractions
- PM: continued fraction, id=3101 -- WP: continued fraction -- Status: A
- linas 22:53, 12 Mar 2005 (UTC)
- PM: Farey pair, id=6597 -- WP guess: Farey pair -- Status:
- PM: Farey sequence, id=3102 -- WP: Farey sequence -- Status: A
- linas 22:51, 12 Mar 2005 (UTC)
- PM: a few examples of solutions to Znám's problem, id=7764new! -- WP guess: a few examples of solutions to Znám's problem -- Status:
- PM: Cahen's constant, id=8549new! -- WP guess: Cahen's constant -- Status:
- PM: derivation of recurrence for Sylvester's sequence, id=7771new! -- WP guess: derivation of recurrence for Sylvester's sequence -- Status:
- PM: sum of reciprocals of Sylvester's sequence, id=7773new! -- WP guess: sum of reciprocals of Sylvester's sequence -- Status:
- PM: Sylvester's sequence, id=7765new! -- WP guess: Sylvester's sequence -- Status:
- PM: Znám's problem, id=7755new! -- WP guess: Znám's problem -- Status:
11A63 Radix representation; digital problems
- PM: corollary of Kummer's theorem, id=3921 -- WP guess: corollary of Kummer's theorem -- Status:
- PM: Kummer's theorem, id=3909 -- WP guess: Kummer's theorem -- Status:
- PM: surd, id=5751 -- WP: Radical (mathematics) -- Status: A
- linas 01:12, 13 Mar 2005 (UTC)
- PM: Friedman number, id=7533 -- WP guess: Friedman number -- Status:
- PM: Armstrong number, id=8123new! -- WP guess: Armstrong number -- Status:
- PM: automorphic number, id=8469new! -- WP guess: automorphic number -- Status:
- PM: bitwise AND, id=9335new! -- WP guess: bitwise AND -- Status:
- PM: bitwise NOT, id=9338new! -- WP guess: bitwise NOT -- Status:
- PM: bitwise OR, id=9336new! -- WP guess: bitwise OR -- Status:
- PM: bitwise XOR, id=9337new! -- WP guess: bitwise XOR -- Status:
- PM: Champernowne's constant, id=9361new! -- WP guess: Champernowne's constant -- Status:
- PM: computer representation of integers, id=9197new! -- WP guess: computer representation of integers -- Status:
- PM: Copeland-Erdős constant, id=7923new! -- WP guess: Copeland-Erdős constant -- Status:
- PM: Demlo number, id=8504new! -- WP guess: Demlo number -- Status:
- PM: digitaddition generator, id=7945new! -- WP guess: digitaddition generator -- Status:
- PM: digital root, id=8017new! -- WP guess: digital root -- Status:
- PM: dihedral prime, id=9012new! -- WP guess: dihedral prime -- Status:
- PM: divisibility test, id=8026new! -- WP guess: divisibility test -- Status:
- PM: duodecimal, id=8482new! -- WP guess: duodecimal -- Status:
- PM: equidigital number, id=8899new! -- WP guess: equidigital number -- Status:
- PM: examples of 1-automorphic numbers, id=8470new! -- WP guess: examples of 1-automorphic numbers -- Status:
- PM: examples of Demlo numbers, id=8507new! -- WP guess: examples of Demlo numbers -- Status:
- PM: examples of digital roots in a few selected bases, id=8030new! -- WP guess: examples of digital roots in a few selected bases -- Status:
- PM: examples of Kaprekar numbers, id=8077new! -- WP guess: examples of Kaprekar numbers -- Status:
- PM: examples of Keith numbers, id=8067new! -- WP guess: examples of Keith numbers -- Status:
- PM: examples of palindromic primes, id=7933new! -- WP guess: examples of palindromic primes -- Status:
- PM: examples of parasitic numbers, id=8520new! -- WP guess: examples of parasitic numbers -- Status:
- PM: examples of polydivisible numbers, id=8521new! -- WP guess: examples of polydivisible numbers -- Status:
- PM: examples of self numbers in a few selected bases, id=7947new! -- WP guess: examples of self numbers in a few selected bases -- Status:
- PM: examples of Smarandache-Wellin primes in a few selected bases, id=7915new! -- WP guess: examples of Smarandache-Wellin primes in a few selected bases -- Status:
- PM: examples of trimorphic numbers, id=8496new! -- WP guess: examples of trimorphic numbers -- Status:
- PM: expressing fractions in factorial base, id=8995new! -- WP guess: expressing fractions in factorial base -- Status:
- PM: extravagant number, id=8900new! -- WP guess: extravagant number -- Status:
- PM: factorial base, id=7927new! -- WP guess: factorial base -- Status:
- PM: factorial base representation of fractions, id=8994new! -- WP guess: factorial base representation of fractions -- Status:
- PM: Feynman point, id=8586new! -- WP guess: Feynman point -- Status:
- PM: fixed-point arithmetic, id=8724new! -- WP guess: fixed-point arithmetic -- Status:
- PM: frugal number, id=8898new! -- WP guess: frugal number -- Status:
- PM: happy number, id=8462new! -- WP guess: happy number -- Status:
- PM: Harshad number, id=7742new! -- WP guess: Harshad number -- Status:
- PM: hexadecimal, id=8472new! -- WP guess: hexadecimal -- Status:
- PM: Kaprekar constant, id=8386new! -- WP guess: Kaprekar constant -- Status:
- PM: Kaprekar number, id=8034new! -- WP guess: Kaprekar number -- Status:
- PM: Keith number, id=8035new! -- WP guess: Keith number -- Status:
- PM: least significant digit, id=8486new! -- WP guess: least significant digit -- Status:
- PM: Leyland number, id=7806new! -- WP guess: Leyland number -- Status:
- PM: most significant digit, id=9122new! -- WP guess: most significant digit -- Status:
- PM: multiplicative digital root, id=8046new! -- WP guess: multiplicative digital root -- Status:
- PM: palindromic number, id=7931new! -- WP guess: palindromic number -- Status:
- PM: palindromic prime, id=7932new! -- WP guess: palindromic prime -- Status:
- PM: pandigital number, id=8131new! -- WP guess: pandigital number -- Status:
- PM: parasitic number, id=8510new! -- WP guess: parasitic number -- Status:
- PM: permutable prime, id=8328new! -- WP guess: permutable prime -- Status:
- PM: polydivisible number, id=8511new! -- WP guess: polydivisible number -- Status:
- PM: proof that every positive integer has a Zeckendorf representation, id=8809new! -- WP guess: proof that every positive integer has a Zeckendorf representation -- Status:
- PM: proof that number of sum-product numbers in any base is finite, id=7743new! -- WP guess: proof that number of sum-product numbers in any base is finite -- Status:
- PM: proof that the set of sum-product numbers in base 10 is finite, id=7740new! -- WP guess: proof that the set of sum-product numbers in base 10 is finite -- Status:
- PM: proof that the set of sum-product numbers in base 2 is finite, id=7739new! -- WP guess: proof that the set of sum-product numbers in base 2 is finite -- Status:
- PM: proof that the Zeckendorf representation of a positive integer is unique, id=8810new! -- WP guess: proof that the Zeckendorf representation of a positive integer is unique -- Status:
- PM: scientific notation, id=8858new! -- WP guess: scientific notation -- Status:
- PM: self number, id=7946new! -- WP guess: self number -- Status:
- PM: self-descriptive number, id=7892new! -- WP guess: self-descriptive number -- Status:
- PM: sequences b^{2n}-1 and b^{2n-1}+1 are divisible by b+1, id=8340new! -- WP guess: sequences b^2n-1 and b^2n-1+1 are divisible by b+1 -- Status:
- PM: Sloane's conjecture on multiplicative digital root, id=8047new! -- WP guess: Sloane's conjecture on multiplicative digital root -- Status:
- PM: Smarandache-Wellin number, id=7921new! -- WP guess: Smarandache-Wellin number -- Status:
- PM: Smarandache-Wellin prime, id=7914new! -- WP guess: Smarandache-Wellin prime -- Status:
- PM: Smith number, id=8454new! -- WP guess: Smith number -- Status:
- PM: some examples of Friedman numbers in Roman numerals, id=7745new! -- WP guess: some examples of Friedman numbers in Roman numerals -- Status:
- PM: strictly non-palindromic number, id=8570new! -- WP guess: strictly non-palindromic number -- Status:
- PM: strobogrammatic number, id=9006new! -- WP guess: strobogrammatic number -- Status:
- PM: strobogrammatic prime, id=8451new! -- WP guess: strobogrammatic prime -- Status:
- PM: sum-product number, id=7738new! -- WP guess: sum-product number -- Status:
- PM: trimorphic number, id=8495new! -- WP guess: trimorphic number -- Status:
- PM: unambiguity of factorial base representation, id=8846new! -- WP guess: unambiguity of factorial base representation -- Status:
- PM: vampire number, id=7706new! -- WP guess: vampire number -- Status:
- PM: Zeckendorf's theorem, id=8120new! -- WP guess: Zeckendorf's theorem -- Status:
- PM: Zuckerman number, id=8134new! -- WP guess: Zuckerman number -- Status:
11A67 Other representations
- PM: adjacent fraction, id=3124 -- WP guess: adjacent fraction -- Status:
- PM: any rational number is a sum of unit fractions, id=3127 -- WP guess: any rational number is a sum of unit fractions -- Status:
- PM: conjecture on fractions with odd denominators, id=3128 -- WP guess: conjecture on fractions with odd denominators -- Status:
- PM: Sierpinski Erdős egyptian fraction conjecture, id=4403 -- WP guess: Sierpinski Erdős egyptian fraction conjecture -- Status:
- PM: sums of two squares, id=5842 -- WP guess: sums of two squares -- Status:
- PM: unit fraction, id=3125 -- WP: unit fraction -- Status: NM
- linas 23:39, 12 Mar 2005 (UTC)
- PM: Erdős-Straus conjecture, id=8628new! -- WP guess: Erdős-Straus conjecture -- Status:
- PM: examples supporting the Erdős-Straus conjecture, id=9160new! -- WP guess: examples supporting the Erdős-Straus conjecture -- Status:
11A99 Miscellaneous
- PM: ABC conjecture, id=201 -- WP guess: ABC conjecture -- Status:
- PM: irrational to an irrational power can be rational, id=4389 -- WP guess: irrational to an irrational power can be rational -- Status:
- PM: Suranyi's theorem, id=4398 -- WP guess: Suranyi's theorem -- Status:
- PM: triangular numbers, id=1698 -- WP: triangular numbers -- Status: A
- linas 01:25, 13 Mar 2005 (UTC)
- PM: decimal expansion, id=6787 -- WP guess: decimal expansion -- Status:
- PM: existence and uniqueness of decimal expansion, id=7648new! -- WP guess: existence and uniqueness of decimal expansion -- Status:
- PM: four hundred ninety-six, id=9496new! -- WP guess: four hundred ninety-six -- Status:
- PM: multiplication operator, id=9005new! -- WP guess: multiplication operator -- Status:
- PM: number of the beast, id=8666new! -- WP guess: number of the beast -- Status:
- PM: one hundred sixty-three, id=9163new! -- WP guess: one hundred sixty-three -- Status:
- PM: tacit multiplication operator, id=8667new! -- WP guess: tacit multiplication operator -- Status:
- PM: tetrahedral number, id=7952new! -- WP guess: tetrahedral number -- Status:
- PM: two hundred thirty-nine, id=9239new! -- WP guess: two hundred thirty-nine -- Status:
11Axx Elementary number theory
11B05 Density, gaps, topology
- PM: asymptotic density, id=2861 -- WP: natural density -- Status: C
- PM: Cauchy-Davenport theorem, id=4133 -- WP guess: Cauchy-Davenport theorem -- Status:
- PM: Erdős-Turan conjecture, id=4018 -- WP guess: Erdős-Turan conjecture -- Status:
- PM: essential component, id=3840 -- WP guess: essential component -- Status:
- PM: Mann's theorem, id=3857 -- WP: Schnirelmann density -- Status: C
- PM: normal order, id=2862 -- WP guess: normal order -- Status:
- PM: Proof of Cauchy-Davenport theorem, id=6141 -- WP guess: Proof of Cauchy-Davenport theorem -- Status:
- PM: Schnirelmann density, id=3838 -- WP: Schnirelmann density -- Status: A
- PM: inequality of logarithmic and asymptotic density, id=7424 -- WP guess: inequality of logarithmic and asymptotic density -- Status:
- PM: logarithmic density, id=7421 -- WP guess: logarithmic density -- Status:
11B13 Additive bases
- PM: additive basis, id=3831 -- WP guess: additive basis -- Status:
- PM: asymptotic basis, id=3832 -- WP guess: asymptotic basis -- Status:
- PM: base conversion, id=3471 -- WP guess: base conversion -- Status:
- PM: Waring's problem, id=3841 -- WP guess: Waring's problem -- Status:
- PM: eventually coincide, id=6907 -- WP guess: eventually coincide -- Status:
- PM: Euler's conjecture, id=8580new! -- WP guess: Euler's conjecture -- Status:
- PM: Mian-Chowla sequence, id=8622new! -- WP guess: Mian-Chowla sequence -- Status:
- PM: Ulam number, id=9002new! -- WP guess: Ulam number -- Status:
11B25 Arithmetic progressions
- PM: Freiman's theorem, id=4304 -- WP: Freiman's theorem -- Status: C
- PM: multidimensional arithmetic progression, id=4303 -- WP guess: multidimensional arithmetic progression -- Status:
- PM: a few complex multiplication tables, id=9216new! -- WP guess: a few complex multiplication tables -- Status:
- PM: how to use a table, id=8803new! -- WP guess: how to use a table -- Status:
11B34 Representation functions
- PM: Erdős-Fuchs theorem, id=3868 -- WP: Erdős–Fuchs theorem -- Status: A
- PM: amenable number, id=8815new! -- WP guess: amenable number -- Status:
11B37 Recurrences
- PM: Berlekamp-Massey algorithm, id=6015 -- WP guess: Berlekamp-Massey algorithm -- Status:
- PM: Collatz problem, id=29 -- WP: Collatz conjecture -- Status: A
- CryptoDerk 22:25, Feb 1, 2005 (UTC)
- PM: maple implementation of Berlekamp-Massey algorithm, id=7502 -- WP guess: maple implementation of Berlekamp-Massey algorithm -- Status:
- PM: approximating algebraic numbers with linear recurrences, id=9138new! -- WP guess: approximating algebraic numbers with linear recurrences -- Status:
- PM: Collatz sequence, id=8952new! -- WP guess: Collatz sequence -- Status:
- PM: Collatz sequences starting with numbers of the form 3n + 1 for odd n < 334, id=8944new! -- WP guess: [[Collatz sequences starting with numbers of the form 3n + 1 for odd n < 334]] -- Status:
- PM: Collatz tree, id=8954new! -- WP guess: Collatz tree -- Status:
- PM: linear recurrence, id=9125new! -- WP guess: linear recurrence -- Status:
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
- PM: Cassini's identity, id=6335 -- WP: Cassini's identity -- Status: A
- PM: Catalan's identity, id=6337 -- WP: Catalan's identity -- Status: A
- PM: Fibonacci sequence, id=665 -- WP: Fibonacci sequence -- Status: A
- linas 03:27, 13 Mar 2005 (UTC)
- PM: golden ratio, id=663 -- WP guess: golden ratio -- Status:
- PM: Hogatt's theorem, id=4408 -- WP guess: Hogatt's theorem -- Status:
- PM: Lucas numbers, id=1963 -- WP guess: Lucas numbers -- Status:
- PM: proof of Cassini's identity, id=6382 -- WP: Cassini and Catalan identities -- Status: N
- I added an external link AdamSmithee 09:00, 8 March 2006 (UTC)
- PM: proof of Catalan's Identity, id=6389 -- WP: Cassini and Catalan identities -- Status: N
- I added an external link AdamSmithee 09:00, 8 March 2006 (UTC)
- PM: derivation of Binet formula, id=6784 -- WP guess: derivation of Binet formula -- Status:
- PM: list of Fibonacci numbers, id=7680new! -- WP guess: list of Fibonacci numbers -- Status:
- PM: Padovan sequence, id=8821new! -- WP guess: Padovan sequence -- Status:
- PM: Pell number, id=7736new! -- WP guess: Pell number -- Status:
- PM: Perrin pseudoprime, id=8284new! -- WP guess: Perrin pseudoprime -- Status:
- PM: Perrin sequence, id=8149new! -- WP guess: Perrin sequence -- Status:
- PM: plastic constant, id=8264new! -- WP guess: plastic constant -- Status:
- PM: primefree sequence, id=7917new! -- WP guess: primefree sequence -- Status:
- PM: proof that it is impossible to construct a Fibonacci-like sequence consisting entirely of primes, id=7926new! -- WP guess: proof that it is impossible to construct a Fibonacci-like sequence consisting entirely of primes -- Status:
- PM: values of \frac{F_n}{F_{n - 1}} for 1 < n < 26, id=9767new! -- WP guess: [[values of \fracF_nF_n - 1 for 1 < n < 26]] -- Status:
11B50 Sequences (mod $m$)
- PM: Erdős-Ginzburg-Ziv theorem, id=4327 -- WP guess: Erdős-Ginzburg-Ziv theorem -- Status:
11B57 Farey sequences; the sequences $$
11B65 Binomial coefficients; factorials; $q$-identities
- PM: binomial theorem, id=247 -- WP: binomial theorem -- Status: A
- PM: Lucas's Theorem, id=3779 -- WP guess: Lucas's Theorem -- Status:
- PM: smarandacheials, id=5859 -- WP guess: smarandacheials -- Status:
- PM: proof of binomial theorem, id=6785 -- WP guess: proof of binomial theorem -- Status:
11B68 Bernoulli and Euler numbers and polynomials
- PM: Bernoulli number, id=219 -- WP guess: Bernoulli number -- Status:
- PM: Bernoulli periodic function, id=218 -- WP guess: Bernoulli periodic function -- Status:
- PM: Bernoulli polynomial, id=215 -- WP: Bernoulli polynomial -- Status: A
- PM: generalized Bernoulli number, id=3910 -- WP guess: generalized Bernoulli number -- Status:
- PM: congruence of Clausen and von Staudt, id=6957 -- WP guess: congruence of Clausen and von Staudt -- Status:
- PM: Kummer's congruence, id=6958 -- WP guess: Kummer's congruence -- Status:
- PM: proof of congruence of Clausen and von Staudt, id=7470 -- WP guess: proof of congruence of Clausen and von Staudt -- Status:
- PM: the odd Bernoulli numbers are zero, id=6959 -- WP guess: the odd Bernoulli numbers are zero -- Status:
11B73 Bell and Stirling numbers
11B75 Other combinatorial number theory
- PM: Erdős-Heilbronn conjecture, id=4287 -- WP guess: Erdős-Heilbronn conjecture -- Status:
- PM: Freiman isomorphism, id=4344 -- WP guess: Freiman isomorphism -- Status:
11B83 Special sequences and polynomials
- PM: Beatty sequence, id=4259 -- WP guess: Beatty sequence -- Status:
- PM: Beatty's theorem, id=695 -- WP guess: Beatty's theorem -- Status:
- PM: Fraenkel's partition theorem, id=4333 -- WP guess: Fraenkel's partition theorem -- Status:
- PM: palindrome, id=3311 -- WP guess: palindrome -- Status:
- PM: proof of Beatty's theorem, id=3823 -- WP guess: proof of Beatty's theorem -- Status:
- PM: Sierpinski numbers, id=4683 -- WP guess: Sierpinski numbers -- Status:
- PM: square-free sequence, id=640 -- WP guess: square-free sequence -- Status:
- PM: superincreasing sequence, id=623 -- WP guess: superincreasing sequence -- Status:
- PM: Data stream, id=7542 -- WP guess: Data stream -- Status:
- PM: proof that powers of 2 are a superincreasing sequence, id=6772 -- WP guess: proof that powers of 2 are a superincreasing sequence -- Status:
- PM: Widera Interlace and Deinterlace, id=7543 -- WP guess: Widera Interlace and Deinterlace -- Status:
11B85 Automata sequences
- PM: Prouhet-Thue-Morse constant, id=5994 -- WP: Prouhet-Thue-Morse constant -- Status: A
- linas 02:13, 13 Mar 2005 (UTC)
- PM: Prouhet-Thue-Morse sequence, id=5973 -- WP: Prouhet-Thue-Morse sequence -- Status: NM
- minor merge, just copy the relation on the genering function.linas 02:13, 13 Mar 2005 (UTC)
11B99 Miscellaneous
- PM: closed form, id=666 -- WP: closed-form solution -- Status: NM
- linas 02:18, 13 Mar 2005 (UTC)
- PM: Lychrel number, id=3312 -- WP: Lychrel number -- Status: NM
- minor, just copy the table linas 02:16, 13 Mar 2005 (UTC)
- PM: example of closed form, id=6769 -- WP guess: example of closed form -- Status:
- PM: 196's reverse and add sequence to 1000 terms, id=8316new! -- WP guess: 196's reverse and add sequence to 1000 terms -- Status:
11Bxx Sequences and sets
11C08 Polynomials
- PM: A. Cohn's irreducibility criterion, id=6194 -- WP: Cohn's irreducibility criterion -- Status: A
- PM: content of a polynomial, id=4167 -- WP guess: content of a polynomial -- Status:
- PM: cyclotomic polynomial, id=2852 -- WP: cyclotomic polynomial -- Status: A
- linas 02:21, 13 Mar 2005 (UTC)
- PM: evaluation homomorphism, id=5671 -- WP guess: evaluation homomorphism -- Status:
- PM: Eisenstein criterion, id=1724 -- WP guess: Eisenstein criterion -- Status:
- PM: height of a polynomial, id=4168 -- WP: height of a polynomial -- Status: A
- Doctormatt 06:37, March 13, 2007 (UTC)
- PM: length of a polynomial, id=4166 -- WP guess: length of a polynomial -- Status:
- PM: opposite polynomial, id=6447 -- WP guess: opposite polynomial -- Status:
- PM: polynomial ring, id=465 -- WP guess: polynomial ring -- Status:
- PM: proof of Eisenstein criterion, id=2986 -- WP: proof of Eisenstein criterion -- Status: NC
- PM: proof that the cyclotomic polynomial is irreducible, id=2897 -- WP guess: proof that the cyclotomic polynomial is irreducible -- Status:
- PM: sign of term, id=6452 -- WP guess: sign of term -- Status:
- PM: translation automorphism of a polynomial ring, id=5720 -- WP guess: translation automorphism of a polynomial ring -- Status:
- PM: zero polynomial, id=6431 -- WP guess: zero polynomial -- Status:
- PM: a polynomial of degree n over a field has at most n roots, id=6897 -- WP guess: a polynomial of degree n over a field has at most n roots -- Status:
- PM: algebraic equation, id=7006 -- WP guess: algebraic equation -- Status:
- PM: Newton-Girard formula for symmetric polynomials, id=7441 -- WP guess: Newton-Girard formula for symmetric polynomials -- Status:
- PM: proof of Newton-Girard formula for symmetric polynomials, id=7485 -- WP guess: proof of Newton-Girard formula for symmetric polynomials -- Status:
- PM: proof of Waring's formula, id=7482 -- WP guess: proof of Waring's formula -- Status:
- PM: Topics on polynomials, id=7170 -- WP guess: Topics on polynomials -- Status:
- PM: Waring's formula, id=7480 -- WP guess: Waring's formula -- Status:
- PM: examples of cyclotomic polynomials, id=9688new! -- WP guess: examples of cyclotomic polynomials -- Status:
- PM: factors of n and x^n-1, id=8776new! -- WP guess: factors of n and x^n-1 -- Status:
11C99 Miscellaneous
- PM: Cantor-Zassenhaus split, id=6591 -- WP guess: Cantor-Zassenhaus split -- Status:
- PM: squarefree factorization, id=6590 -- WP guess: squarefree factorization -- Status:
11Cxx Polynomials and matrices
11D09 Quadratic and bilinear equations
- PM: Pell's equation and simple continued fractions, id=3870 -- WP: Pell's equation -- Status: NM
- linas 01:17, 13 Mar 2005 (UTC)
- PM: polygonal number, id=4685 -- WP: polygonal number -- Status: NM
- linas 01:19, 13 Mar 2005 (UTC)
- PM: proof of Pythagorean triplet, id=5519 -- WP guess: proof of Pythagorean triplet -- Status:
- PM: centered hexagonal number, id=8767new! -- WP guess: centered hexagonal number -- Status:
- PM: Pell's equation, id=8629new! -- WP guess: Pell's equation -- Status:
11D25 Cubic and quartic equations
- PM: infinite descent, id=5542 -- WP guess: infinite descent -- Status:
11D41 Higher degree equations; Fermat's equation
- PM: Beal conjecture, id=3765 -- WP guess: Beal conjecture -- Status:
- PM: Euler quartic conjecture, id=4326 -- WP guess: Euler quartic conjecture -- Status:
- PM: example of Fermat's last theorem, id=5588 -- WP guess: example of Fermat's last theorem -- Status:
- PM: Fermat's last theorem, id=1621 -- WP: Fermat's last theorem -- Status: A
- linas 01:22, 13 Mar 2005 (UTC)
- PM: x^4-y^4=z^2 has no solutions in positive integers, id=9377new! -- WP guess: x^4-y^4=z^2 has no solutions in positive integers -- Status:
- PM: Fermat's last theorem (analytic form of), id=8411new! -- WP guess: Fermat's last theorem (analytic form of) -- Status:
- PM: Kummer's lemma, id=7929new! -- WP guess: Kummer's lemma -- Status:
- PM: proof of equivalence of Fermat's Last Theorem to its analytic form, id=8444new! -- WP guess: proof of equivalence of Fermat's Last Theorem to its analytic form -- Status:
- PM: solutions of 1+x+x^2+x^3=y^2, id=9378new! -- WP guess: solutions of 1+x+x^2+x^3=y^2 -- Status:
11D68 Rational numbers as sums of fractions
11D72 Equations in many variables
- PM: Hurwitz equation, id=9816new! -- WP guess: Hurwitz equation -- Status:
- PM: Markov number, id=7729new! -- WP guess: Markov number -- Status:
11D79 Congruences in many variables
- PM: Chinese remainder theorem, id=879 -- WP: Chinese remainder theorem -- Status: A
- PM: Chinese remainder theorem proof, id=889 -- WP: Chinese remainder theorem -- Status: A
- PM: noncommutative case Chinese remainder theorem for rings, id=9152new! -- WP guess: noncommutative case Chinese remainder theorem for rings -- Status:
11D85 Representation problems
- PM: Agoh-Giuga conjecture, id=8419new! -- WP guess: Agoh-Giuga conjecture -- Status:
- PM: Giuga number, id=7815new! -- WP guess: Giuga number -- Status:
- PM: oblong number, id=7814new! -- WP guess: oblong number -- Status:
- PM: primary pseudoperfect number, id=8413new! -- WP guess: primary pseudoperfect number -- Status:
- PM: primitive semiperfect number, id=8442new! -- WP guess: primitive semiperfect number -- Status:
- PM: semiperfect number, id=8432new! -- WP guess: semiperfect number -- Status:
- PM: weird number, id=8440new! -- WP guess: weird number -- Status:
11D99 Miscellaneous
- PM: Diophantine equation, id=890 -- WP: Diophantine equation -- Status: NM
- easy merge, copy the stuff about algorithm linas 02:34, 13 Mar 2005 (UTC)
- PM: solution of 1/x + 1/y = 1/n, id=8689new! -- WP guess: solution of 1/x + 1/y = 1/n -- Status:
11Dxx Diophantine equations
11E04 Quadratic forms over general fields
- PM: quadratic map, id=8625new! -- WP guess: quadratic map -- Status:
11E08 Quadratic forms over local rings and fields
11E10 Forms over real fields
11E12 Quadratic forms over global rings and fields
- PM: equivalence of form class group and class group, id=9208new! -- WP guess: equivalence of form class group and class group -- Status:
- PM: integral binary quadratic forms, id=9194new! -- WP guess: integral binary quadratic forms -- Status:
- PM: list of all imaginary quadratic extensions whose ring of integers is a PID, id=9213new! -- WP guess: list of all imaginary quadratic extensions whose ring of integers is a PID -- Status:
- PM: there is a unique reduced form of discriminant -4n only for n=1,2,3,4,7, id=9214new! -- WP guess: there is a unique reduced form of discriminant -4n only for n=1,2,3,4,7 -- Status:
11E16 General binary quadratic forms
- PM: example of group action, id=4567 -- WP guess: example of group action -- Status:
11E25 Sums of squares and representations by other particular quadratic forms
11E39 Bilinear and Hermitian forms
- PM: bilinear form, id=1612 -- WP guess: bilinear form -- Status:
- PM: canonical basis for symmetric bilinear forms, id=6631 -- WP guess: canonical basis for symmetric bilinear forms -- Status:
- PM: Hermitian form, id=2468 -- WP guess: Hermitian form -- Status:
- PM: inner product, id=1601 -- WP guess: inner product -- Status:
- PM: matrix representation of a bilinear form, id=6630 -- WP guess: matrix representation of a bilinear form -- Status:
- PM: non-degenerate bilinear form, id=2483 -- WP guess: non-degenerate bilinear form -- Status:
- PM: positive definite form, id=2472 -- WP guess: positive definite form -- Status:
- PM: symmetric bilinear form, id=2466 -- WP guess: symmetric bilinear form -- Status:
- PM: Hermitian dot product (finite fields), id=6988 -- WP guess: Hermitian dot product (finite fields) -- Status:
- PM: non-degenerate quadratic form, id=6828 -- WP guess: non-degenerate quadratic form -- Status:
- PM: perfect bilinear form, id=7494 -- WP guess: perfect bilinear form -- Status:
- PM: sesquilinear forms over general fields, id=7987new! -- WP guess: sesquilinear forms over general fields -- Status:
11E57 Classical groups
- PM: classical groups, id=7812new! -- WP guess: classical groups -- Status:
- PM: theory from orders of classical groups, id=7958new! -- WP guess: theory from orders of classical groups -- Status:
11E76 Forms of degree higher than two
11E81 Algebraic theory of quadratic forms; Witt groups and rings
- PM: diagonal quadratic form, id=7646new! -- WP guess: diagonal quadratic form -- Status:
- PM: isotropic quadratic space, id=7643new! -- WP guess: isotropic quadratic space -- Status:
11E88 Quadratic spaces; Clifford algebras
- PM: Clifford algebra, id=3803 -- WP: Clifford algebra -- Status: NM
- copy the part about filter algebra linas 02:38, 13 Mar 2005 (UTC)
- PM: hyperbolic plane in quadratic spaces, id=7640new! -- WP guess: hyperbolic plane in quadratic spaces -- Status:
11Exx Forms and linear algebraic groups
11F06 Structure of modular groups and generalizations; arithmetic groups
- PM: Taniyama-Shimura theorem, id=1720 -- WP: Taniyama-Shimura theorem -- Status: NM
- The PM intro lends a nice concreteness to the abstract proceedings in WP. linas 02:43, 13 Mar 2005 (UTC)
11F11 Modular forms, one variable
- linas 02:49, 13 Mar 2005 (UTC)
- PM: Hecke algebra, id=5551 -- WP: Hecke algebra -- Status: NC
- The redirect to Hecke operator should be undone. Or one could merge. linas 02:49, 13 Mar 2005 (UTC)
- Why? Charles Matthews 19:53, 25 October 2005 (UTC)
- PM: modular form, id=5534 -- WP: modular form -- Status: A
- linas 02:49, 13 Mar 2005 (UTC)
11F30 Fourier coefficients of automorphic forms
- PM: Fourier coefficients, id=4716 -- WP guess: Fourier series -- Status: A
- The PM article is badly mis-classified. linas 02:51, 13 Mar 2005 (UTC)
- PM: Fourier sine and cosine series, id=7650new! -- WP guess: Fourier sine and cosine series -- Status:
11F67 Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
- PM: period, id=4687 -- WP: period (mathematics) -- Status: NC
- PM article is mis-classified linas 02:56, 13 Mar 2005 (UTC)
- PM: Schanuel's conjecture, id=4739 -- WP: Schanuel's conjecture -- Status: NC
- linas 02:59, 13 Mar 2005 (UTC)
11F80 Galois representations
11Fxx Discontinuous groups and automorphic forms
11G05 Elliptic curves over global fields
- PM: complex multiplication, id=4367 -- WP guess: complex multiplication -- Status:
- PM: elliptic curve, id=1097 -- WP guess: elliptic curve -- Status:
- PM: examples of elliptic curves with complex multiplication, id=5872 -- WP guess: examples of elliptic curves with complex multiplication -- Status:
- PM: the j-invariant classifies elliptic curves up to isomorphism, id=6839 -- WP guess: the j-invariant classifies elliptic curves up to isomorphism -- Status:
- PM: the arithmetic of elliptic curves, id=6837 -- WP guess: the arithmetic of elliptic curves -- Status:
- PM: canonical height on an elliptic curve, id=8534new! -- WP guess: canonical height on an elliptic curve -- Status:
- PM: minimal model for an elliptic curve, id=7763new! -- WP guess: minimal model for an elliptic curve -- Status:
- PM: regulator of an elliptic curve, id=8535new! -- WP guess: regulator of an elliptic curve -- Status:
- PM: Siegel's theorem, id=7969new! -- WP guess: Siegel's theorem -- Status:
- PM: the Grössencharacter associated to a CM elliptic curve, id=7712new! -- WP guess: the Grössencharacter associated to a CM elliptic curve -- Status:
- PM: Weierstrass equation of an elliptic curve, id=7762new! -- WP guess: Weierstrass equation of an elliptic curve -- Status:
11G07 Elliptic curves over local fields
11Gxx Arithmetic algebraic geometry (Diophantine geometry)
11H06 Lattices and convex bodies
- PM: lattice in \mathbb{R}^n, id=4613 -- WP: lattice (group) -- Status: NM
- actually, just copy the graphic diagram over linas 03:01, 13 Mar 2005 (UTC)
- PM: Minkowski's theorem, id=4601 -- WP: Minkowski's theorem -- Status: NM
- The rigorous defn in PM is much nicer than the prose in WP. linas 03:04, 13 Mar 2005 (UTC)
- PM: Hermite's Theorem, id=6820 -- WP guess: Hermite's Theorem -- Status:
- PM: Minkowski's constant, id=6819 -- WP guess: Minkowski's constant -- Status:
- PM: using Minkowski's constant to find a class number, id=6822 -- WP guess: using Minkowski's constant to find a class number -- Status:
11H46 Products of linear forms
11H55 Quadratic forms (reduction theory, extreme forms, etc.)
11Hxx Geometry of numbers
11J04 Homogeneous approximation to one number
- PM: Dirichlet's approximation theorem, id=3740 -- WP guess: Dirichlet's approximation theorem -- Status:
11J06 Markov and Lagrange spectra and generalizations
- PM: uniqueness conjecture for Markov numbers, id=9817new! -- WP guess: uniqueness conjecture for Markov numbers -- Status:
11J61 Approximation in non-Archimedean valuations
- PM: Goormaghtigh Conjecture, id=7120 -- WP guess: Goormaghtigh Conjecture -- Status:
11J68 Approximation to algebraic numbers
- PM: Davenport-Schmidt theorem, id=4151 -- WP: Davenport-Schmidt theorem -- Status: A
- PM: Liouville approximation theorem, id=211 -- WP: Liouville number -- Status: N
- PM: proof of Liouville approximation theorem, id=3833 -- WP: Lioville number -- Status: N
- PM: Roth's theorem, id=6753 -- WP: Thue–Siegel–Roth theorem -- Status: N
11J70 Continued fractions and generalizations
11J71 Distribution modulo one
- PM: Salem number, id=4298 -- WP: Salem number -- Status: A
- linas 03:06, 13 Mar 2005 (UTC)
11J72 Irrationality; linear independence over a field
- PM: nth root of 2 is irrational for n\ge 3 (proof using Fermat's last theorem), id=4292 -- WP guess: nth root of 2 is irrational for n\ge 3 (proof using Fermat's last theorem) -- Status:
- PM: e is irrational (proof), id=2795 -- WP: Proof that e is irrational -- Status: N
- PM: e is not a quadratic irrational, id=5426 -- WP guess: e is not a quadratic irrational -- Status:
- PM: if a^n is irrational then a is irrational, id=5779 -- WP guess: if a^n is irrational then a is irrational -- Status:
- PM: irrational, id=661 -- WP: Irrational number -- Status: N
- PM: rational and irrational, id=6677 -- WP guess: rational and irrational -- Status:
- PM: square root of 2 is irrational, id=2920 -- WP: Square root of 2 -- Status: N
- PM: e^r is irrational for r\in\mathbb{Q}\setminus\{0\}, id=6872 -- WP guess: e^r is irrational for r\in\mathbbQ\setminus\0\ -- Status:
- PM: proof that e is not a natural number, id=7598 -- WP guess: proof that e is not a natural number -- Status:
- PM: alternative proof that \sqrt{2} is irrational, id=9183new! -- WP: alternative proof that \sqrt2 is irrational -- Status:
- PM: e is irrational, id=9330new! -- WP guess: e is irrational -- Status:
11J81 Transcendence (general theory)
- PM: Apéry's constant, id=4021 -- WP: Apéry's constant -- Status: A
- PM: example of four exponentials conjecture, id=5570 -- WP guess: example of four exponentials conjecture -- Status:
- PM: four exponentials conjecture, id=4349 -- WP guess: four exponentials conjecture -- Status:
- PM: fundamental theorem of transcendence, id=3546 -- WP: none -- Status: N
- KimJ, the owner of this article, mentioned to me that this was a joke entry. I concur. Even though it's true, this "theorem" doesn't go by this name except as a joke. CryptoDerk 02:48, Feb 2, 2005 (UTC)
- PM: Gelfond's theorem, id=3952 -- WP guess: Gelfond's theorem -- Status:
- PM: six exponentials theorem, id=4348 -- WP guess: six exponentials theorem -- Status:
- PM: transcendental number, id=656 -- WP guess: transcendental number -- Status:
- PM: e is transcendental, id=6929 -- WP guess: e is transcendental -- Status:
- PM: example of transcendental number, id=6760 -- WP guess: example of transcendental number -- Status:
- PM: Liouville number, id=9657new! -- WP guess: Liouville number -- Status:
11J82 Measures of irrationality and of transcendence
- PM: irrationality measure, id=5639 -- WP guess: irrationality measure -- Status:
11J85 Algebraic independence; Gelfond's method
- PM: proof of Lindemann-Weierstrass theorem and that e and \pi are transcendental, id=9438new! -- WP guess: proof of Lindemann-Weierstrass theorem and that e and \pi are transcendental -- Status:
- PM: Zariski lemma, id=9650new! -- WP guess: Zariski lemma -- Status:
11J86 Linear forms in logarithms; Baker's method
11Jxx Diophantine approximation, transcendental number theory
11K06 General theory of distribution modulo $1$
- PM: uniformly distributed, id=5746 -- WP guess: uniformly distributed -- Status:
- PM: Weyl's criterion, id=5747 -- WP guess: Weyl's criterion -- Status:
11K16 Normal numbers, radix expansions, etc.
- PM: absolutely normal, id=4159 -- WP guess: absolutely normal -- Status:
11K38 Irregularities of distribution, discrepancy
11K45 Pseudo-random numbers; Monte Carlo methods
- PM: Monte Carlo methods, id=1269 -- WP guess: Monte Carlo methods -- Status:
- PM: pseudorandom numbers, id=1274 -- WP guess: pseudorandom numbers -- Status:
- PM: quasirandom numbers, id=1278 -- WP guess: quasirandom numbers -- Status:
- PM: random numbers, id=1280 -- WP guess: random numbers -- Status:
- PM: truly random numbers, id=1277 -- WP guess: truly random numbers -- Status:
11K99 Miscellaneous
11Kxx Probabilistic theory: distribution modulo $1$; metric theory of algorithms
11L03 Trigonometric and exponential sums, general
- PM: Ramanujan sum, id=1504 -- WP guess: Ramanujan sum -- Status:
11L05 Gauss and Kloosterman sums; generalizations
- PM: derivation of Gauss sum up to a sign, id=4319 -- WP guess: derivation of Gauss sum up to a sign -- Status:
- linas 03:18, 13 Mar 2005 (UTC)
- PM: Kloosterman sum, id=4769 -- WP: Kloosterman sum -- Status: A
- PM: Landsberg-Schaar relation, id=3926 -- WP guess: Landsberg-Schaar relation -- Status:
11L40 Estimates on character sums
- PM: Pólya-Vinogradov inequality, id=3084 -- WP guess: Pólya-Vinogradov inequality -- Status:
11Lxx Exponential sums and character sums
11M06 $\zeta (s)$ and $L(s, \chi)$
- PM: Dedekind zeta function, id=3854 -- WP guess: Dedekind zeta function -- Status:
- PM: Dirichlet L-series, id=3905 -- WP: Dirichlet L-series -- Status: NM
- linas 22:47, 12 Mar 2005 (UTC)
- PM: functional equation for the Riemann theta function, id=3942 -- WP guess: functional equation for the Riemann theta function -- Status:
- PM: functional equation for the Riemann Xi function, id=3946 -- WP: Riemann Xi function -- Status: N
- PM: generalized Riemann hypothesis, id=4662 -- WP: generalized Riemann hypothesis -- Status: A
- linas 22:49, 12 Mar 2005 (UTC)
- PM: proof of functional equation for the Riemann theta function, id=4023 -- WP guess: proof of functional equation for the Riemann theta function -- Status:
- PM: Riemann theta-function, id=3940 -- WP guess: Riemann theta-function -- Status:
- PM: Riemann omega function, id=3945 -- WP guess: Riemann omega function -- Status:
- PM: Riemann Xi function, id=3943 -- WP: Riemann Xi function -- Status: C
- PM: L(\chi,1)\neq 0 if \chi is a real Dirichlet character, id=8633new! -- WP guess: L(\chi,1)\neq 0 if \chi is a real Dirichlet character -- Status:
- PM: convergence of Riemann zeta series, id=9853new! -- WP guess: convergence of Riemann zeta series -- Status:
- PM: critical strip, id=8191new! -- WP guess: critical strip -- Status:
- PM: Factorization of the Dedekind zeta function of an abelian number field, id=8062new! -- WP guess: Factorization of the Dedekind zeta function of an abelian number field -- Status:
- PM: Siegel-Klingen Theorem, id=8061new! -- WP guess: Siegel-Klingen Theorem -- Status:
- PM: value of the Riemann zeta function at s=0, id=8190new! -- WP guess: value of the Riemann zeta function at s=0 -- Status:
- PM: values of Dedekind zeta functions of real quadratic number fields at negative integers, id=8064new! -- WP guess: values of Dedekind zeta functions of real quadratic number fields at negative integers -- Status:
- PM: values of the Dedekind zeta function of \mathbb{Q}(\sqrt{5}) at negative integers, id=8065new! -- WP guess: values of the Dedekind zeta function of \mathbbQ(\sqrt5) at negative integers -- Status:
11M20 Real zeros of $L(s, \chi)$; results on $L(1, \chi)$
11M35 Hurwitz and Lerch zeta functions
- PM: generalized zeta function, id=8285new! -- WP guess: generalized zeta function -- Status:
11M41 Other Dirichlet series and zeta functions
- PM: \eta (1) =\ln 2, id=8261new! -- WP guess: \eta (1) =\ln 2 -- Status:
- PM: analytic continuation of Riemann zeta to critical strip, id=9150new! -- WP guess: analytic continuation of Riemann zeta to critical strip -- Status:
11M99 Miscellaneous
- PM: formulae for zeta in the critical strip, id=4040 -- WP guess: formulae for zeta in the critical strip -- Status:
- PM: functional equation of the Riemann zeta function, id=4661 -- WP guess: functional equation of the Riemann zeta function -- Status:
- PM: Riemann zeta function, id=2896 -- WP guess: Riemann zeta function -- Status:
- PM: value of the Riemann zeta function at s=2, id=4719 -- WP guess: value of the Riemann zeta function at s=2 -- Status:
- PM: values of the Riemann zeta function in terms of Bernoulli numbers, id=6960 -- WP guess: values of the Riemann zeta function in terms of Bernoulli numbers -- Status:
11Mxx Zeta and $L$-functions: analytic theory
11N05 Distribution of primes
- PM: Bertrand's conjecture, id=251 -- WP: Bertrand's conjecture -- Status: A
- linas 03:40, 13 Mar 2005 (UTC)
- PM: Brun's constant, id=3847 -- WP: Brun's constant -- Status: A
- linas 03:35, 13 Mar 2005 (UTC)
- PM: proof of Bertrand's conjecture, id=3822 -- WP: proof of Bertrand's conjecture -- Status: NC
- linas 03:42, 13 Mar 2005 (UTC)
- PM: twin prime conjecture, id=3883 -- WP: twin prime conjecture -- Status: A
- linas 03:32, 13 Mar 2005 (UTC)
- PM: prime triples conjecture, id=4211 -- WP guess: prime triples conjecture -- Status:
- PM: Brun's constant for prime quadruplets, id=8171new! -- WP guess: Brun's constant for prime quadruplets -- Status:
- PM: Carol number, id=8317new! -- WP guess: Carol number -- Status:
- PM: Chen prime, id=8128new! -- WP guess: Chen prime -- Status:
- PM: Chen's theorem, id=8456new! -- WP guess: Chen's theorem -- Status:
- PM: cuban prime, id=8452new! -- WP guess: cuban prime -- Status:
- PM: Cunningham chain, id=8129new! -- WP guess: Cunningham chain -- Status:
- PM: cyclic number, id=9000new! -- WP guess: cyclic number -- Status:
- PM: full reptend prime, id=8139new! -- WP guess: full reptend prime -- Status:
- PM: Kynea number, id=8318new! -- WP guess: Kynea number -- Status:
- PM: prime quadruplet, id=8101new! -- WP guess: prime quadruplet -- Status:
- PM: Redmond-Sun conjecture, id=9828new! -- WP guess: Redmond-Sun conjecture -- Status:
- PM: Stern prime, id=8446new! -- WP guess: Stern prime -- Status:
11N13 Primes in progressions
- PM: Dirichlet's theorem on primes in arithmetic progressions, id=2000 -- WP guess: Dirichlet's theorem on primes in arithmetic progressions -- Status:
- PM: special case of Dirichlet's theorem on primes in arithmetic progressions, id=6158 -- WP guess: special case of Dirichlet's theorem on primes in arithmetic progressions -- Status:
- PM: Galois groups of finite abelian extensions of \mathbb{Q}, id=8434new! -- WP guess: Galois groups of finite abelian extensions of \mathbbQ -- Status:
- PM: there are an infinite number of primes \equiv \pm 1\pmod 4, id=9218new! -- WP guess: there are an infinite number of primes \equiv \pm 1\pmod 4 -- Status:
11N25 Distribution of integers with specified multiplicative constraints
- PM: power of an integer., id=5858 -- WP guess: power of an integer -- Status:
11N32 Primes represented by polynomials; other multiplicative structure of polynomial values
- PM: Euler four-square identity, id=2839 -- WP: Euler four-square identity -- Status: A
- PM: Schinzel's Hypothesis H, id=6953 -- WP guess: Schinzel's Hypothesis H -- Status:
11N35 Sieves
- PM: Brun's pure sieve, id=5608 -- WP guess: Brun's pure sieve -- Status:
- PM: sieve of Eratosthenes, id=5535 -- WP guess: sieve of Eratosthenes -- Status:
11N36 Applications of sieve methods
11N37 Asymptotic results on arithmetic functions
- PM: \displaystyle x\log^2x=O\left(\sum_{n \le x} 2^{\Omega(n)} \right), id=8236new! -- WP guess: \displaystyle x\log^2x=O\left(\sum_n \le x 2^\Omega(n) \right) -- Status:
- PM: \displaystyle \sum_{n \le x} (\tau(n))^a=O_a(x(\log x)^{2^a-1}) for a \ge 0, id=8248new! -- WP guess: \displaystyle \sum_n \le x (\tau(n))^a=O_a(x(\log x)^2^a-1) for a \ge 0 -- Status:
- PM: \displaystyle \sum_{n \le x} y^{\Omega(n)}=O\left( \frac{x(\log x)^{y-1}}{2-y} \right) for 1 \le y<2, id=8235new! -- WP guess: [[\displaystyle \sum_n \le x y^\Omega(n)=O\left( \fracx(\log x)^y-12-y \right) for 1 \le y<2]] -- Status:
- PM: \displaystyle \sum_{n \le x} y^{\omega(n)}=O_y(x(\log x)^{y-1}) for y \ge 0, id=8279new! -- WP guess: \displaystyle \sum_n \le x y^\omega(n)=O_y(x(\log x)^y-1) for y \ge 0 -- Status:
- PM: asymptotic estimate, id=8027new! -- WP guess: asymptotic estimate -- Status:
- PM: asymptotic estimates for real-valued nonnegative multiplicative functions, id=8223new! -- WP guess: asymptotic estimates for real-valued nonnegative multiplicative functions -- Status:
- PM: convolution method, id=7989new! -- WP guess: convolution method -- Status:
- PM: Dirichlet hyperbola method, id=7990new! -- WP guess: Dirichlet hyperbola method -- Status:
- PM: Wirsing condition, id=8224new! -- WP guess: Wirsing condition -- Status:
11N56 Rate of growth of arithmetic functions
- PM: highly composite number, id=4347 -- WP guess: highly composite number -- Status:
11N80 Generalized primes and integers
- PM: internal direct sum of ideals, id=6489 -- WP guess: internal direct sum of ideals -- Status:
- PM: every PID is a UFD, id=9196new! -- WP guess: every PID is a UFD -- Status:
- PM: regular ideal, id=7666new! -- WP guess: regular ideal -- Status:
11N99 Miscellaneous
11Nxx Multiplicative number theory
11P05 Waring's problem and variants
- PM: Lagrange's four-square theorem, id=2838 -- WP guess: Lagrange's four-square theorem -- Status:
- PM: proof of Lagrange's four-square theorem, id=3871 -- WP guess: proof of Lagrange's four-square theorem -- Status:
11P32 Goldbach-type theorems; other additive questions involving primes
- PM: Levy's conjecture, id=9822new! -- WP guess: Levy's conjecture -- Status:
11P81 Elementary theory of partitions
- PM: pentagonal number theorem, id=4733 -- WP: pentagonal number theorem -- Status: NM
- The PM article has a nice proof of the theorem. linas 01:28, 13 Mar 2005 (UTC)
11P99 Miscellaneous
11Pxx Additive number theory; partitions
11R04 Algebraic numbers; rings of algebraic integers
- PM: y^2= x^3-2, id=6544 -- WP guess: y^2= x^3-2 -- Status:
- PM: algebraic conjugates, id=4749 -- WP guess: algebraic conjugates -- Status:
- PM: algebraic integer, id=210 -- WP: algebraic integer -- Status: NM
- The PM article is more pleasently rigorous/clearer. linas 01:35, 13 Mar 2005 (UTC)
- PM: algebraic number, id=209 -- WP: algebraic number -- Status: A
- linas 01:32, 13 Mar 2005 (UTC)
- PM: calculating the splitting of primes, id=4635 -- WP guess: calculating the splitting of primes -- Status:
- PM: Dedekind domain, id=2854 -- WP guess: Dedekind domain -- Status:
- PM: Dirichlet's unit theorem, id=3911 -- WP guess: Dirichlet's unit theorem -- Status:
- PM: Eisenstein integers, id=208 -- WP guess: Eisenstein integers -- Status:
- PM: fundamental units, id=6080 -- WP guess: fundamental units -- Status:
- PM: Galois representation, id=4042 -- WP: Galois representation -- Status: NM
- It might be easier to just copy, and throw away the current WP article. linas 01:44, 13 Mar 2005 (UTC)
- PM: Gaussian integer, id=207 -- WP: Gaussian integer -- Status: NM
- edited, actually ... the PM article is structured better, and is easier to read. linas 01:42, 13 Mar 2005 (UTC)
- PM: ideal classes form an abelian group, id=3151 -- WP guess: ideal classes form an abelian group -- Status:
- PM: ideals in a Dedekind domain, id=3154 -- WP guess: ideals in a Dedekind domain -- Status:
- PM: integral basis, id=2853 -- WP guess: integral basis -- Status:
- PM: integrally closed, id=2867 -- WP guess: integrally closed -- Status:
- PM: proof of transcendental root theorem, id=5625 -- WP guess: proof of transcendental root theorem -- Status:
- PM: transcendental root theorem, id=5431 -- WP guess: transcendental root theorem -- Status:
- PM: two-generator property, id=5645 -- WP guess: two-generator property -- Status:
- PM: units of quadratic fields, id=5726 -- WP guess: units of quadratic fields -- Status:
- PM: p-adic cyclotomic character, id=7521 -- WP guess: p-adic cyclotomic character -- Status:
- PM: algebraic sum and product, id=7320 -- WP guess: algebraic sum and product -- Status:
- PM: canonical basis, id=7165 -- WP guess: canonical basis -- Status:
- PM: fundamental character of level n for the inertia group at p, id=7525 -- WP guess: fundamental character of level n for the inertia group at p -- Status:
- PM: ideal decomposition in Dedekind domain, id=7219 -- WP guess: ideal decomposition in Dedekind domain -- Status:
- PM: invertibility of regularly generated ideal, id=6984 -- WP guess: invertibility of regularly generated ideal -- Status:
- PM: minimality of integral basis, id=7164 -- WP guess: minimality of integral basis -- Status:
- PM: multiples of an algebraic number, id=7126 -- WP guess: multiples of an algebraic number -- Status:
- PM: norm and trace of algebraic number, id=7125 -- WP guess: norm and trace of algebraic number -- Status:
- PM: theory of algebraic and transcendental numbers, id=7004 -- WP guess: theory of algebraic and transcendental numbers -- Status:
- PM: theory of rational and irrational numbers, id=7007 -- WP guess: theory of rational and irrational numbers -- Status:
- PM: classification of complex numbers, id=9215new! -- WP guess: classification of complex numbers -- Status:
- PM: conjugate fields, id=9487new! -- WP guess: conjugate fields -- Status:
- PM: conjugation (mnemonic), id=8052new! -- WP guess: conjugation (mnemonic) -- Status:
- PM: Eisenstein prime, id=8253new! -- WP guess: Eisenstein prime -- Status:
- PM: example of a Bezout domain that is not a PID, id=9220new! -- WP guess: example of a Bezout domain that is not a PID -- Status:
- PM: examples of Gaussian primes, id=9121new! -- WP guess: examples of Gaussian primes -- Status:
- PM: examples of integrally closed extensions, id=9311new! -- WP guess: examples of integrally closed extensions -- Status:
- PM: ideal norm, id=7672new! -- WP guess: ideal norm -- Status:
- PM: norm-Euclidean number field, id=9124new! -- WP guess: norm-Euclidean number field -- Status:
- PM: number field that is not norm-Euclidean, id=9217new! -- WP guess: number field that is not norm-Euclidean -- Status:
- PM: power basis over \mathbb{Z}, id=7960new! -- WP guess: power basis over \mathbbZ -- Status:
- PM: proof of norm and trace of algebraic number, id=7998new! -- WP guess: proof of norm and trace of algebraic number -- Status:
- PM: quadratic imaginary norm-Euclidean number fields, id=9126new! -- WP guess: quadratic imaginary norm-Euclidean number fields -- Status:
- PM: units of real cubic fields with exactly one real embedding, id=8090new! -- WP guess: units of real cubic fields with exactly one real embedding -- Status:
11R06 PV-numbers and generalizations; other special algebraic numbers
11R11 Quadratic extensions
- PM: prime ideal decomposition in quadratic extensions of \mathbb{Q}, id=4643 -- WP guess: prime ideal decomposition in quadratic extensions of \mathbbQ -- Status:
- PM: proof of prime ideal decomposition in quadratic extensions of \mathbb{Q}, id=8002new! -- WP guess: proof of prime ideal decomposition in quadratic extensions of \mathbbQ -- Status:
- PM: quadratic fields that are not isomorphic, id=8458new! -- WP guess: quadratic fields that are not isomorphic -- Status:
11R16 Cubic and quartic extensions
- PM: biquadratic extension, id=7948new! -- WP guess: biquadratic extension -- Status:
- PM: biquadratic field, id=7949new! -- WP guess: biquadratic field -- Status:
- PM: pure cubic field, id=8088new! -- WP guess: pure cubic field -- Status:
11R18 Cyclotomic extensions
- PM: cyclotomic units, id=5644 -- WP guess: cyclotomic units -- Status:
- PM: examples of regular primes, id=5494 -- WP guess: examples of regular primes -- Status:
- PM: Kronecker–Weber theorem, id=4620 -- WP: Kronecker–Weber theorem -- Status: NM
- linas 01:46, 13 Mar 2005 (UTC)
- PM: prime ideal decomposition in cyclotomic extensions of \mathbb{Q}, id=4644 -- WP guess: prime ideal decomposition in cyclotomic extensions of \mathbbQ -- Status:
- PM: regular prime, id=3040 -- WP guess: regular prime -- Status:
- PM: the cyclotomic units are algebraic units, id=5657 -- WP guess: the cyclotomic units are algebraic units -- Status:
- PM: index of the group of cyclotomic units in the full unit group, id=7661new! -- WP guess: index of the group of cyclotomic units in the full unit group -- Status:
11R20 Other abelian and metabelian extensions
11R21 Other number fields
11R27 Units and factorization
- PM: p-adic regulator, id=5679 -- WP: p-adic regulator -- Status: NC
- PM article is mis-categorized, needs to be with other p-adic topics linas 04:06, 13 Mar 2005 (UTC)
- PM: Leopoldt's conjecture, id=5684 -- WP guess: Leopoldt's conjecture -- Status:
- PM: unique factorization and ideals in ring of integers, id=9171new! -- WP guess: unique factorization and ideals in ring of integers -- Status:
11R29 Class numbers, class groups, discriminants
- PM: class number formula, id=4664 -- WP: class number formula -- Status: C
- PM: discriminant, id=2895 -- WP: discriminant -- Status: NM
- linas 01:49, 13 Mar 2005 (UTC)
- PM: existence of Hilbert class field, id=2870 -- WP: Hilbert class field -- Status: C
- PM: Herbrand's theorem, id=5647 -- WP: Herbrand's theorem -- Status: A
- PM: ideal class, id=2869 -- WP guess: ideal class -- Status:
- PM: ray class group, id=3164 -- WP guess: ray class group -- Status:
- PM: Stickelberger's theorem, id=5642 -- WP guess: Stickelberger's theorem -- Status:
- PM: Thaine's theorem, id=5643 -- WP guess: Thaine's theorem -- Status:
- PM: class number divisibility in p-extensions, id=6867 -- WP guess: class number divisibility in p-extensions -- Status:
- PM: class number divisibility in cyclic extensions, id=6868 -- WP guess: class number divisibility in cyclic extensions -- Status:
- PM: class number divisibility in extensions, id=6792 -- WP guess: class number divisibility in extensions -- Status:
- PM: extensions without unramified subextensions and class number divisibility, id=6866 -- WP guess: extensions without unramified subextensions and class number divisibility -- Status:
- PM: push-down theorem on class numbers, id=6815 -- WP guess: push-down theorem on class numbers -- Status:
- PM: root-discriminant, id=6824 -- WP guess: root-discriminant -- Status:
- PM: topics on ideal class groups and discriminants, id=6869 -- WP guess: topics on ideal class groups and discriminants -- Status:
- PM: unramified extensions and class number divisibility, id=6765 -- WP guess: unramified extensions and class number divisibility -- Status:
- PM: Vandiver's conjecture, id=6727 -- WP guess: Vandiver's conjecture -- Status:
- PM: an exact sequence for ray class groups, id=7660new! -- WP guess: an exact sequence for ray class groups -- Status:
11R32 Galois theory
- PM: constructible angles with integer values in degrees, id=5728 -- WP guess: constructible angles with integer values in degrees -- Status:
- PM: fundamental theorem of Galois theory, id=1327 -- WP guess: fundamental theorem of Galois theory -- Status:
- PM: Galois criterion for solvability of a polynomial by radicals, id=1338 -- WP guess: Galois criterion for solvability of a polynomial by radicals -- Status:
- PM: Hilbert Theorem 90, id=1435 -- WP: Hilbert Theorem 90 -- Status: A
- PM: proof of fundamental theorem of Galois theory, id=5958 -- WP guess: proof of fundamental theorem of Galois theory -- Status:
- PM: additive form of Hilbert's theorem 90, id=7163 -- WP guess: additive form of Hilbert's theorem 90 -- Status:
- PM: Galois group of the compositum of two Galois extensions, id=6794 -- WP guess: Galois group of the compositum of two Galois extensions -- Status:
- PM: inverse Galois problem, id=6728 -- WP guess: inverse Galois problem -- Status:
- PM: proof of additive form of Hilbert's theorem 90, id=7179 -- WP guess: proof of additive form of Hilbert's theorem 90 -- Status:
- PM: proof of Hilbert Theorem 90, id=7134 -- WP guess: proof of Hilbert Theorem 90 -- Status:
- PM: Shafarevich's theorem, id=6729 -- WP guess: Shafarevich's theorem -- Status:
- PM: the compositum of a Galois extension and another extension is Galois, id=6791 -- WP guess: the compositum of a Galois extension and another extension is Galois -- Status:
11R34 Galois cohomology
11R37 Class field theory
- PM: multiplicative congruence, id=3163 -- WP guess: multiplicative congruence -- Status:
- PM: ray class field, id=4648 -- WP guess: ray class field -- Status:
- PM: Tchebotarev density theorem, id=3093 -- WP guess: Tchebotarev density theorem -- Status:
- PM: Kronecker's Jugendtraum, id=6726 -- WP guess: Kronecker's Jugendtraum -- Status:
11R42 Zeta functions and $L$-functions of number fields
11R44 Distribution of prime ideals
11R45 Density theorems
11R52 Quaternion and other division algebras: arithmetic, zeta functions
- PM: Mazur's structure theorem, id=6501 -- WP guess: Mazur's structure theorem -- Status:
- PM: quaternion algebra, id=2894 -- WP guess: quaternion algebra -- Status:
11R56 Adèle rings and groups
- PM: adèle, id=2927 -- WP: adele ring -- Status: NM
- linas 03:47, 13 Mar 2005 (UTC)
- linas 03:49, 13 Mar 2005 (UTC)
- PM: restricted direct product, id=2845 -- WP guess: restricted direct product -- Status:
- PM: grössencharacter, id=7709new! -- WP guess: grössencharacter -- Status:
11R58 Arithmetic theory of algebraic function fields
- PM: function field, id=7484 -- WP guess: function field -- Status:
- PM: Riemann-Hurwitz theorem, id=7486 -- WP guess: Riemann-Hurwitz theorem -- Status:
11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.)
11R99 Miscellaneous
- PM: alternative definition of valuation, id=6618 -- WP guess: alternative definition of valuation -- Status:
- PM: extension of Krull valuation, id=6621 -- WP: extension of Krull valuation -- Status: NC
- linas 04:00, 13 Mar 2005 (UTC)
- PM: Henselian field, id=4047 -- WP guess: Henselian field -- Status:
- PM: independence of p-adic valuations, id=5636 -- WP guess: independence of p-adic valuations -- Status:
- PM: independence of valuations, id=5626 -- WP guess: independence of valuations -- Status:
- PM: Krull valuation, id=6596 -- WP: Krull valuation -- Status: NC
- linas 04:00, 13 Mar 2005 (UTC)
- PM: Krull valuation domain, id=6603 -- WP: Krull valuation domain -- Status: NC
- linas 04:00, 13 Mar 2005 (UTC)
- PM: proof of equivalence of definitions of valuation, id=6622 -- WP guess: proof of equivalence of definitions of valuation -- Status:
- PM: trivial valuation, id=5811 -- WP: trivial Krull valuation -- Status: NC
- linas 04:00, 13 Mar 2005 (UTC)
- PM: ultrametric triangle inequality, id=6587 -- WP guess: ultrametric triangle inequality -- Status:
- PM: valuation, id=2835 -- WP: p-adic valuation -- Status: NC
- linas 03:54, 13 Mar 2005 (UTC)
- PM: valuation determined by valuation domain, id=6602 -- WP guess: valuation determined by valuation domain -- Status:
- PM: extension of valuation from complete base field, id=6724 -- WP guess: extension of valuation from complete base field -- Status:
- PM: alternative definition of Krull valuation, id=9322new! -- WP guess: alternative definition of Krull valuation -- Status:
- PM: order valuation, id=9147new! -- WP guess: order valuation -- Status:
11Rxx Algebraic number theory: global fields
11S15 Ramification and extension theory
- PM: decomposition group, id=3022 -- WP guess: decomposition group -- Status:
- PM: examples of prime ideal decomposition in number fields, id=4628 -- WP guess: examples of prime ideal decomposition in number fields -- Status:
- PM: inertial degree, id=2902 -- WP guess: inertial degree -- Status:
- PM: ramification index, id=2868 -- WP guess: ramification index -- Status:
- PM: unramified action, id=4702 -- WP guess: unramified action -- Status:
- PM: examples of ramification of archimedean places, id=6864 -- WP guess: examples of ramification of archimedean places -- Status:
- PM: ramification of archimedean places, id=6861 -- WP guess: ramification of archimedean places -- Status:
- PM: splitting and ramification in number fields and Galois extensions, id=6818 -- WP guess: splitting and ramification in number fields and Galois extensions -- Status:
- PM: the ramification index and the inertial degree are multiplicative in towers, id=6842 -- WP guess: the ramification index and the inertial degree are multiplicative in towers -- Status:
11S20 Galois theory
11S25 Galois cohomology
11S31 Class field theory; $p$-adic formal groups
- PM: Hilbert symbol, id=3175 -- WP guess: Hilbert symbol -- Status:
11S80 Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.)
- PM: p-adic analytic, id=7001 -- WP guess: p-adic analytic -- Status:
- PM: p-adic exponential and p-adic logarithm, id=7000 -- WP guess: p-adic exponential and p-adic logarithm -- Status:
11S99 Miscellaneous
- PM: p-adic integers, id=3118 -- WP guess: p-adic integers -- Status:
- PM: local field, id=3119 -- WP guess: local field -- Status:
- PM: complex p-adic numbers, id=6998 -- WP guess: complex p-adic numbers -- Status:
- PM: examples for Hensel's lemma, id=6888 -- WP guess: examples for Hensel's lemma -- Status:
- PM: Hensel's lemma, id=6886 -- WP guess: Hensel's lemma -- Status:
- PM: proof of Hensel's lemma, id=7432 -- WP guess: proof of Hensel's lemma -- Status:
- PM: Teichmüller character, id=6898 -- WP guess: Teichmüller character -- Status:
11Sxx Algebraic number theory: local and $p$-adic fields
11T23 Exponential sums
- PM: freshman's dream, id=7839new! -- WP guess: freshman's dream -- Status:
11T30 Structure theory
11T55 Arithmetic theory of polynomial rings over finite fields
11T71 Algebraic coding theory; cryptography
- PM: binary Golay code, id=5891 -- WP guess: binary Golay code -- Status:
- PM: perfect code, id=5892 -- WP guess: perfect code -- Status:
11T99 Miscellaneous
- PM: finite field, id=2893 -- WP guess: finite field -- Status:
- PM: Frobenius map, id=2830 -- WP guess: Frobenius map -- Status:
- PM: generator for the mutiplicative group of a field, id=9143new! -- WP guess: generator for the mutiplicative group of a field -- Status:
11Txx Finite fields and commutative rings (number-theoretic aspects)
11Y05 Factorization
11Y11 Primality
- PM: Miller-Rabin prime test, id=6589 -- WP guess: Miller-Rabin prime test -- Status:
- PM: Solovay-Strassen test, id=5978 -- WP guess: Solovay-Strassen test -- Status:
11Y40 Algebraic number theory computations
- PM: symbolic computation, id=1139 -- WP guess: symbolic computation -- Status:
11Y55 Calculation of integer sequences
- PM: Kolakoski sequence, id=3108 -- WP guess: Kolakoski sequence -- Status:
11Y65 Continued fraction calculations
11Y99 Miscellaneous
11Yxx Computational number theory
11Z05 Miscellaneous applications of number theory
- PM: \tau function, id=4085 -- WP: Divisor function -- Status: A
- linas 22:21, 12 Mar 2005 (UTC)
- PM: arithmetic derivative, id=4208 -- WP guess: arithmetic derivative -- Status: N, eccentric
- PM: cryptography and number theory, id=5593 -- WP guess: cryptography and number theory -- Status:
- PM: example of arithmetic derivative, id=4209 -- WP guess: example of arithmetic derivative -- Status: N, see above
- PM: proof that \tau(n) is the number of positive divisors of n, id=4088 -- WP guess: proof that \tau(n) is the number of positive divisors of n -- Status: N, dull
- PM: generalized Smarandache palindrome, id=9348new! -- WP guess: generalized Smarandache palindrome -- Status:
- PM: quotient rule for arithmetic derivative, id=9372new! -- WP guess: quotient rule for arithmetic derivative -- Status: