The distribution of prime numbers / Dimitris Koukoulopoulos.

Format:

Book

Author/Creator:

Koukoulopoulos, Dimitris, 1984- author.

Series:

Graduate studies in mathematics ; v. 203.

Graduate Studies in Mathematics ; v. 203

Language:

English

Subjects (All):

Numbers, Prime.

Physical Description:

1 online resource.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2019]

System Details:

Mode of access : World Wide Web

text file

Contents:

And then there were infinitely many Asymptotic estimates Combinatorial ways to count primes The Dirichlet convolution Dirichlet series An explicit formula for counting primes The Riemann zeta function The Perron inversion formula The Prime Number Theorem Dirichlet characters Fourier analysis on finite abelian groups Dirichlet $L$-functions The Prime Number Theorem for arithmetic progressions Primes and multiplicative functions Evolution of sums of multiplicative functions The distribution of multiplicative functions Large deviations Twin primes The axioms of sieve theory The Fundamental Lemma of Sieve Theory Applications of sieve methods Selberg's sieve Sieving for zero-free regions Vinogradov's method Ternary arithmetic progressions Bilinear forms and the large sieve The Bombieri-Vinogradov theorem The least prime in an arithmetic progression Small gaps between primes Large gaps between primes Irregularities in the distribution of primes The Riemann-Stieltjes integral The Fourier and the Mellin transforms The method of moments

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2019

Description based on print version record.

Other Format:

Print version: Koukoulopoulos, Dimitris, 1984- distribution of prime numbers /

ISBN:

9781470454203

Access Restriction:

Restricted for use by site license.