Category:Number theory

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Number Theory

The main article for this category is Number theory.

Traditionally, number theory mathematics concerned with the properties of integers and many open problems that are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arose naturally from the study of integers. Number theory may be subdivided into several fields according to the methods used and the questions investigated. See for example the list of number theory topics.

This category corresponds roughly to MSC 11 Number Theory in the American Mathematical Society's Mathematics Subject Classification.

Subcategories

There are 19 subcategories to this category shown below (more may be shown on subsequent pages).

A Algebraic number theory Analytic number theory Arithmetic functions C Computational number theory Continued fractions D Diophantine approximation

D cont. Diophantine equations E Elementary number theory G Geometry of numbers I Integer sequences L Lattice points M Modular arithmetic Modular forms

M cont. Multiplicative functions N Number theoretic algorithms Number theorists P Prime numbers Q Quadratic forms µ Number theory stubs

Pages in category "Number theory"

There are 180 pages in this section of this category.

Number theory List of number theory topics * List of recreational number theory topics 1 15 theorem A Abc conjecture Abelian variety of CM-type Abouabdillah's theorem Agoh-Giuga conjecture Algebraic number Aliquant Aliquot Amenable number Amicable number Artin-Hasse exponential Automorphic form Ax–Kochen theorem B Barnes G-function Base conversion divisibility test Basel problem Beal's conjecture Bernoulli number Bernoulli polynomials Bertrand's postulate Blum integer C Cabtaxi number Champernowne constant Character group Chowla-Selberg formula Class number formula Coin problem Collatz conjecture Composition (number theory) Computational number theory Congruent number Coprime Covering set Covering system Cube (arithmetic) Cubic reciprocity Cunningham project Cyclic number Cyclotomic unit D De Polignac's formula Dedekind sum Digital root Diophantine approximation Disquisitiones Arithmeticae Divisor function E E-function Egyptian fraction Eisenstein's theorem Elkies trinomial curves Epsilon theorem Erdős–Graham conjecture Erdős–Kac theorem Erdős–Straus conjecture Eta function Euclid's lemma Euler function Euler product

E cont. Euler's conjecture Euler's rule Euler's totient function Exponential factorial F Factorial Faltings' theorem Farey sequence Fermat number Fermat's Last Theorem Freiman's theorem Fundamental theorem of arithmetic G Generalized taxicab number Giuga number Glaisher-Kinkelin constant Golomb ruler Greedy algorithm for Egyptian fractions Green-Tao theorem Grothendieck–Katz p-curvature conjecture H Harmonic number Hasse's theorem on elliptic curves Hasse–Minkowski theorem Hecke character Hilbert's irreducibility theorem Hyperfactorial I Ideal number Integer square root Integer-valued polynomial J Jacobi triple product Journal of Number Theory K Kronecker symbol L Lagrange's theorem (number theory) Langlands program Lindemann–Weierstrass theorem List of mathematical functions Local analysis Logarithmic form Lucas' theorem Lychrel number M Marshall Hall's conjecture Maximally divisible number Mertens conjecture Mihăilescu's theorem Minkowski's question mark function Mirimanoff's congruence Möbius transform Multiplicities of entries in Pascal's triangle N NFSNet Narcissistic number Natural density Natural number Normal number Number derivative O Ore's harmonic number Ostrowski's theorem Overconvergent modular form P P-adic analysis P-adic division algorithm P-adic number Pairwise coprime Paley graph Partition (number theory)

P cont. Partition Congruences and the Andrews-Garvan-Dyson Crank Pentagonal number theorem Perfect power Persistence of a number Pohlig-Hellman algorithm Postage stamp problem Poussin proof Prime geodesic Prime signature Primefree sequence Primon gas Probabilistic number theory Proof of weak Scholz conjecture Proofs of Fermat's little theorem Prouhet-Thue-Morse constant Q Q-Vandermonde identity Q-analog Q-series Quadratic irrational Quadratic reciprocity R Ramanujan's congruences Ramanujan's sum Random matrix theory Remainder Residue class-wise affine group Restricted sumset S Schanuel's conjecture Schnorr group Schoof's algorithm Schoof-Elkies-Atkin algorithm Schwartz-Bruhat function Semistable elliptic curve Skewes' number Sociable number Solitary number Stern-Brocot tree Størmer's theorem Strictly differentiable Sum-free sequence Sumset Sylvester's sequence T Taxicab number Thâbit ibn Kurrah rule Tijdeman's theorem Tunnell's theorem U Unique factorization domain Unitary divisor Upper half-plane V Viswanath's constant Von Staudt–Clausen theorem Vorlesungen über Zahlentheorie W Waring's problem Weil conjectures Weil-Châtelet group Wiener-Ikehara theorem Z Zeckendorf's theorem Znám's problem Zolotarev's lemma Zsigmondy's theorem

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