Analytic number theory is the branch of number theory that uses methods from mathematical analysis. Its first major success was the application of complex analysis in the proofs of the prime number theorem based on the Riemann zeta function.

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Z

• Zeta functions

Articles in category "Analytic number theory"

There are 52 articles in this category.

Analytic number theory Artin conjecture B Birch and Swinnerton-Dyer conjecture Brahmagupta's identity Brun's constant C Chebotarev's density theorem Chen's theorem Cousin prime Cramér's conjecture Critical line theorem Cunningham chain D De Bruijn-Newman constant Dedekind zeta function Dirichlet character E Eisenstein series Elliptic curve Elliptic function

E cont. Euler's four-square identity F Fermat number Functional equation (L-function) G Generalized Riemann hypothesis Gilbreath's conjecture Goldbach's conjecture Goldbach's weak conjecture Grand Riemann hypothesis H Hardy-Littlewood circle method Hasse-Weil zeta function Hilbert-Pólya conjecture L L-function Lagrange's four-square theorem Lambert series Landau-Ramanujan constant Linnik's theorem M Mahler measure Modular form

M cont. Modular group O On the Number of Primes Less Than a Given Magnitude P Prime number theorem R Riemann hypothesis Riesz function S Schinzel's hypothesis H Schnirelmann density Second Hardy-Littlewood conjecture Seventeen or Bust Sexy prime Sierpinski number Sieve theory Sophie Germain prime T Transcendence theory Twin prime conjecture W Waring's problem Z Zeta function