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OverviewFull Product DetailsAuthor: Dimitris KoukoulopoulosPublisher: American Mathematical Society Imprint: American Mathematical Society ISBN: 9781470447540ISBN 10: 1470447541 Pages: 356 Publication Date: 30 January 2020 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsAnd then there were infinitely many First principles: Asymptotic estimates Combinatorial ways to count primes The Dirichlet convolution Dirichlet series Methods of complex and harmonic analysis: 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 Multiplicative functions and the anatomy of integers: Primes and multiplicative functions Evolution of sums of multiplicative functions The distribution of multiplicative functions Large deviations Sieve methods: 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 Bilinear methods: Vinogradov's method Ternary arithmetic progressions Bilinear forms and the large sieve The Bombieri-Vinogradov theorem The least prime in an arithmetic progression Local aspects of the distribution of primes: Small gaps between primes Large gaps between primes Irregularities in the distribution of primes Appendices: The Riemann-Stieltjes integral The Fourier and the Mellin transforms The method of moments Bibliography IndexReviewsAuthor InformationDimitris Koukoulopoulos, Universite de Montreal, QC, Canada. Tab Content 6Author Website:Countries AvailableAll regions |
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