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作者 Koukoulopoulos, Dimitris, 1984- author
書名 The distribution of prime numbers / Dimitris Koukoulopoulos
出版項 Providence, Rhode Island : American Mathematical Society, [2019]
國際標準書號 9781470447540
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA246 K68 2019    到期 07-31-20    30340200565541
說明 xii, 356 pages ; 26 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
系列 Graduate studies in mathematics, 1065-7339 ; 203
Graduate studies in mathematics ; v. 203
附註 Includes bibliographical references and index
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
主題 Numbers, Prime
Numbers, Prime. fast (OCoLC)fst01041241
Number theory -- Instructional exposition (textbooks, tutorial papers, etc.). msc
Number theory -- Multiplicative number theory. msc
Number theory -- Zeta and $L$-functions: analytic theory. msc
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