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Wikipedia:WikiProject Mathematics/Wikipedia 1.0/Number theory

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This page lists articles that have been assigned to the field Number theory using the {{maths rating}} template. To include articles on this page, use the following wiki code (in which newlines are optional).

{{maths rating
  |class = quality grading (FA, A, GA, Bplus, B, Start, or Stub)
  |importance = priority level (Top, High, Mid, or Low)
  |field = Number theory
}}

Description

This field is for articles on number theory, including:

elementary number theory, algebraic number theory and analytic number theory.

Some articles in these areas might instead be rated under algebra or geometry, depending on their content.

Number theory article ratings
Priority Quality
Featured article FA A-Class article A Good article GA A-BB+ B Start Stub UA Total
Top 1 0 0 1 6 5 0 0 13
High 0 0 0 1 9 22 7 0 39
Mid 0 0 2 1 16 73 42 1 135
Low 0 0 0 2 4 57 81 1 145
UA 0 0 0 0 0 2 6 9 17
Total 1 0 2 5 35 159 136 11 349
Last updated: Sun Jul 5 01:10:02 UTC 2009

The articles in this field are sorted by importance (or priority) and listed in the tables below. These tables are updated automatically by VeblenBot.

Number theory articles by priority
Top-Priority High-Priority Mid-Priority Low-Priority Unassessed priority

Top-Priority

Article Grade Comments
  Euclidean algorithm (talk) Featured article FA
  Prime number theorem (talk) A-BB+
  Algebraic number field (talk) B
  Fundamental theorem of arithmetic (talk) B
  Natural number (talk) B
  Number theory (talk) B
  Prime number (talk) B
  Riemann hypothesis (talk) B
  Algebraic number theory (talk) Start
  Analytic number theory (talk) Start
  Class field theory (talk) Start
  Diophantine equation (talk) Start
  Fermat's Last Theorem (talk) Start
Last updated: Sun Jul 5 01:10:02 UTC 2009

High-Priority

Article Grade Comments
  Quadratic reciprocity (talk) A-BB+
  Collatz conjecture (talk) B
  Euler's totient function (talk) B
  Fibonacci number (talk) B
  Integer factorization (talk) B
  Pell's equation (talk) B
  Perfect number (talk) B
  Rational number (talk) B
  Riemann zeta function (talk) B
  Transcendental number (talk) B
  Algebraic number (talk) Start
  Algebraically closed field (talk) Start
  Artin reciprocity law (talk) Start
  Automorphic form (talk) Start
  Birch and Swinnerton-Dyer conjecture (talk) Start
  Chinese remainder theorem (talk) Start
  Coprime (talk) Start
  Dedekind eta function (talk) Start
  Dirichlet L-function (talk) Start
  Dirichlet character (talk) Start
  Divisor (talk) Start
  Generalized Riemann hypothesis (talk) Start
  Goldbach's conjecture (talk) Start
  Greatest common divisor (talk) Start
  Hasse principle (talk) Start
  Hasse–Minkowski theorem (talk) Start
  Iwasawa theory (talk) Start
  L-function (talk) Start
  Modularity theorem (talk) Start
  Möbius function (talk) Start
  Transcendence theory (talk) Start
  Twin prime conjecture (talk) Start
  Absolute Galois group (talk) Stub
  Geometry of numbers (talk) Stub
  Global field (talk) Stub
  Hilbert class field (talk) Stub
  Local class field theory (talk) Stub
  Prime factor (talk) Stub
  Tate module (talk) Stub
Last updated: Sun Jul 5 01:10:02 UTC 2009

Mid-Priority

Article Grade Comments
  Sylvester's sequence (talk) A-Good article GA
  Znám's problem (talk) A-Good article GA
  Pell number (talk) A-BB+
  Basel problem (talk) B
  Bernoulli number (talk) B
  Chebyshev function (talk) B
  Class formation (talk) B
  Cohn's irreducibility criterion (talk) B
  Congruence relation (talk) B
  Fermat number (talk) B
  Gauss's lemma (number theory) (talk) B
  Liouville number (talk) B
  Mersenne prime (talk) B
  Modular multiplicative inverse (talk) B
  P-adic number (talk) B
  Partition (number theory) (talk) B
  Regular number (talk) B
  Smith–Minkowski–Siegel mass formula (talk) B
  Square root of 2 (talk) B
  AKS primality test (talk) Start
  Abc conjecture (talk) Start
  Additive function (talk) Start
  Adele ring (talk) Start
  Algebraic closure (talk) Start
  Algebraic integer (talk) Start
  Amicable number (talk) Start
  Arithmetic progression (talk) Start
  Arthur–Selberg trace formula (talk) Start
  Artin L-function (talk) Start
  Artin's conjecture on primitive roots (talk) Start
  Binary quadratic form (talk) Start
  Brauer's theorem (talk) Start
  Bézout's identity (talk) Start
  Carmichael number (talk) Start
  Character sum (talk) Start
  Chebotarev's density theorem (talk) Start
  Class number formula (talk) Start
  Class number problem (talk) Start
  Classical modular curve (talk) Start
  Composite number (talk) Start
  Constructible number (talk) Start
  Constructible polygon (talk) Start
  Cuspidal representation (talk) Start
  Cyclotomic field (talk) Start
  Diophantine set (talk) Start
  Dirichlet's unit theorem (talk) Start
  Divisor function (talk) Start
  Faltings' theorem (talk) Start
  Fermat's little theorem (talk) Start
  Fermat's theorem on sums of two squares (talk) Start
  Functional equation (L-function) (talk) Start
  Galois cohomology (talk) Start
  Gaussian period (talk) Start
  Gelfond–Schneider theorem (talk) Start
  Hardy–Littlewood circle method (talk) Start
  Hasse–Weil zeta function (talk) Start
  Hecke character (talk) Start
  Hilbert's Theorem 90 (talk) Start
  Hilbert–Pólya conjecture (talk) Start
  Hurwitz zeta function (talk) Start
  Infinite descent (talk) Start
  Integer sequence (talk) Start
  Jacobi symbol (talk) Start
  Khinchin's constant (talk) Start
  Krasner's lemma (talk) Start
  Kronecker symbol (talk) Start
  Lambert series (talk) Start
  Lazy caterer's sequence (talk) Start
  Legendre symbol (talk) Start
  Lindemann–Weierstrass theorem (talk) Start
  Local field (talk) Start
  Mertens function (talk) Start
  Modular curve (talk) Start
  Multiplicative function (talk) Start
  Möbius inversion formula (talk) Start
  Non-abelian class field theory (talk) Start
  Perrin number (talk) Start
  Proof of Fermat's Last Theorem for specific exponents (talk) Start
  Pythagorean triple (talk) Start
  Ribet's theorem (talk) Start
  Schanuel's conjecture (talk) Start
  Semistable abelian variety (talk) Start
  Sieve of Eratosthenes (talk) Start
  Square number (talk) Start
  Square-free integer (talk) Start
  Stirling's approximation (talk) Start
  Triangular number (talk) Start
  Twin prime (talk) Start
  Waring's problem (talk) Start
  Wiles' proof of Fermat's Last Theorem (talk) Start
  Wilson's theorem (talk) Start
  Young's inequality (talk) Start
  Additive number theory (talk) Stub
  Agoh–Giuga conjecture (talk) Stub
  Arakelov theory (talk) Stub
  Arithmetic combinatorics (talk) Stub
  Arithmetic function (talk) Stub
  Arithmetic group (talk) Stub
  Birch–Tate conjecture (talk) Stub
  Brun–Titchmarsh theorem (talk) Stub
  Chen's theorem (talk) Stub
  Compatible system of ℓ-adic representations (talk) Stub
  Cusp form (talk) Stub
  Cyclotomic character (talk) Stub
  Diophantine approximation (talk) Stub
  Discrepancy theory (talk) Stub
  Eisenstein prime (talk) Stub
  Euler product (talk) Stub
  Fundamental discriminant (talk) Stub
  Galois module (talk) Stub
  Hardy–Ramanujan theorem (talk) Stub
  Hasse's theorem on elliptic curves (talk) Stub
  Hilbert's ninth problem (talk) Stub
  Kronecker–Weber theorem (talk) Stub
  Lagrange's four-square theorem (talk) Stub
  Lemoine's conjecture (talk) Stub
  Mian–Chowla sequence (talk) Stub
  Mordell–Weil theorem (talk) Stub
  Multiple zeta function (talk) Stub
  Narrow class group (talk) Stub
  Pairwise coprime (talk) Stub
  Prime quadruplet (talk) Stub
  Prime triplet (talk) Stub
  Quadratic field (talk) Stub
  Ramanujan's lost notebook (talk) Stub
  Rigid analytic space (talk) Stub
  Sato-Tate conjecture (talk) Stub
  Schinzel's hypothesis H (talk) Stub
  Selberg trace formula (talk) Stub
  Semiprime (talk) Stub
  Shimura variety (talk) Stub
  Sieve of Sundaram (talk) Stub
  Sophie Germain's theorem (talk) Stub
  Woodall number (talk) Stub
  Hasse–Arf theorem (talk) UNone
Last updated: Sun Jul 5 01:10:02 UTC 2009

Low-Priority

Article Grade Comments
  Cubic reciprocity (talk) A-BB+
  Quartic reciprocity (talk) A-BB+
  Fundamental lemma of sieve theory (talk) B
  Lucas–Lehmer primality test (talk) B
  Parity problem (sieve theory) (talk) B
  Square triangular number (talk) B
  Abstract analytic number theory (talk) Start
  Abundant number (talk) Start
  Achilles number (talk) Start
  Archimedes' cattle problem (talk) Start
  Arithmetic of abelian varieties (talk) Start
  Artin–Mazur zeta function (talk) Start
  Auxiliary function (talk) Start
  Beatty sequence (talk) Start
  Bell series (talk) Start
  Brun's constant (talk) Start
  Cassini and Catalan identities (talk) Start
  Conductor-discriminant formula (talk) Start
  Congruent number (talk) Start
  Constant problem (talk) Start
  Davenport–Schmidt theorem (talk) Start
  Dickman-de Bruijn function (talk) Start
  Dirichlet beta function (talk) Start
  Dirichlet convolution (talk) Start
  Dirichlet density (talk) Start
  Dirichlet eta function (talk) Start
  Dirichlet's theorem on arithmetic progressions (talk) Start
  Discriminant of an algebraic number field (talk) Start
  Divisor summatory function (talk) Start
  Drinfel'd module (talk) Start
  Erdős–Graham conjecture (talk) Start
  Erdős–Straus conjecture (talk) Start
  Extremal orders of an arithmetic function (talk) Start
  Harshad number (talk) Start
  Highly abundant number (talk) Start
  Hurwitz quaternion (talk) Start
  Hyperperfect number (talk) Start
  Jurkat–Richert theorem (talk) Start
  Knuth's up-arrow notation (talk) Start
  Kummer sum (talk) Start
  Kummer theory (talk) Start
  Large sieve (talk) Start
  Legendre sieve (talk) Start
  Linnik's theorem (talk) Start
  Lucas-Carmichael number (talk) Start
  Mock modular form (talk) Start
  Multiplicative number theory (talk) Start
  Newton polygon (talk) Start
  Perfect totient number (talk) Start
  Practical number (talk) Start
  Primary pseudoperfect number (talk) Start
  Selberg class (talk) Start
  Shanks-Tonelli algorithm (talk) Start
  Siegel zero (talk) Start
  Siegel's theorem on integral points (talk) Start
  Sierpinski number (talk) Start
  Sieve of Atkin (talk) Start
  Sieve theory (talk) Start
  Stern prime (talk) Start
  Transcendence degree (talk) Start
  Turán–Kubilius inequality (talk) Start
  Von Mangoldt function (talk) Start
  Zolotarev's lemma (talk) Start
  Abnormal number (talk) Stub
  Aliquot (talk) Stub
  Amenable number (talk) Stub
  Ankeny-Artin-Chowla congruence (talk) Stub
  Artin–Hasse exponential (talk) Stub
  Aryabhata algorithm (talk) Stub
  Atkin–Lehner theory (talk) Stub
  Bach's algorithm (talk) Stub
  Balanced prime (talk) Stub
  Beal's conjecture (talk) Stub
  Bellard's formula (talk) Stub
  Birch's theorem (talk) Stub
  Chakravala method (talk) Stub
  Chen prime (talk) Stub
  Chowla–Mordell theorem (talk) Stub
  Chowla–Selberg formula (talk) Stub
  Christophe Breuil (talk) Stub
  Composition (number theory) (talk) Stub
  Conductor of an abelian variety (talk) Stub
  Cousin prime (talk) Stub
  Critical line theorem (talk) Stub
  Cuban prime (talk) Stub
  Cullen number (talk) Stub
  Cunningham number (talk) Stub
  Cyclotomic unit (talk) Stub
  Dedekind psi function (talk) Stub
  Dedekind zeta function (talk) Stub
  Dirichlet's approximation theorem (talk) Stub
  Elliptic unit (talk) Stub
  Endoscopic group (talk) Stub
  Euler function (talk) Stub
  Factor base (talk) Stub
  Four exponentials conjecture (talk) Stub
  Friedlander–Iwaniec theorem (talk) Stub
  Fundamental unit (number theory) (talk) Stub
  Gaussian rational (talk) Stub
  Gilbreath's conjecture (talk) Stub
  Goldbach's weak conjecture (talk) Stub
  Gregory number (talk) Stub
  Heath-Brown–Moroz constant (talk) Stub
  Herbrand–Ribet theorem (talk) Stub
  Interesting number paradox (talk) Stub
  Jacobi sum (talk) Stub
  Jacobi–Madden equation (talk) Stub
  Kloosterman sum (talk) Stub
  Lagrange number (talk) Stub
  Landau–Ramanujan constant (talk) Stub
  Langlands group (talk) Stub
  Local trace formula (talk) Stub
  Mertens' theorems (talk) Stub
  Nontotient (talk) Stub
  Norm of an ideal (talk) Stub
  Néron–Tate height (talk) Stub
  Palindromic prime (talk) Stub
  Parasitic number (talk) Stub
  Perron's formula (talk) Stub
  Prime k-tuple (talk) Stub
  Pseudo-zero set (talk) Stub
  Quadratic irrational (talk) Stub
  Quasiperfect number (talk) Stub
  Ramanujan prime (talk) Stub
  Regular prime (talk) Stub
  Riesel number (talk) Stub
  Sarvadaman Chowla (talk) Stub
  Schoof–Elkies–Atkin algorithm (talk) Stub
  Second Hardy–Littlewood conjecture (talk) Stub
  Selberg sieve (talk) Stub
  Shanks' square forms factorization (talk) Stub
  Six exponentials theorem (talk) Stub
  Sophie Germain prime (talk) Stub
  Sphenic number (talk) Stub
  Stickelberger's theorem (talk) Stub
  Supersingular prime (talk) Stub
  Tau-function (talk) Stub
  Taxicab number (talk) Stub
  Ulam spiral (talk) Stub
  Vandiver's conjecture (talk) Stub
  Von Staudt–Clausen theorem (talk) Stub
  Wall-Sun-Sun prime (talk) Stub
  Waring's prime number conjecture (talk) Stub
  Zsigmondy's theorem (talk) Stub
  Theta representation (talk) UNone
Last updated: Sun Jul 5 01:10:02 UTC 2009

Unassessed priority

Article Grade Comments
  Coin problem (talk) Start
  Grunwald–Wang theorem (talk) Start
  Countably compact space (talk) Stub
  Grand Riemann hypothesis (talk) Stub
  Hilbert's eighth problem (talk) Stub
  Lehmer's conjecture (talk) Stub
  Linear forms in logarithms (talk) Stub
  Mazur's torsion theorem (talk) Stub
  Brocard's problem (talk) UNone
  Catalan's conjecture (talk) UNone
  Ducci sequence (talk) UNone
  Dyson's transform (talk) UNone
  Highly composite number (talk) UNone
  Jacobi's four-square theorem (talk) UNone
  Maier's theorem (talk) UNone
  Schnirelmann density (talk) UNone
  Supernatural numbers (talk) UNone
Last updated: Sun Jul 5 01:10:02 UTC 2009
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