Analytic Number Theory
Definition of Analytic Number Theory as it relates to Science, Mathematics, Number Theory
Analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It often involves complex variables, Fourier analysis, and infinite series. Topics in analytic number theory include prime numbers, distribution of primes, Dirichlet's theorem on arithmetic progressions, and the Riemann zeta function. This subfield is closely related to harmonic analysis and algebraic number theory.