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The distribution of prime numbers /

Koukoulopoulos, Dimitris, (1984-)

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The distribution of prime numbers /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The distribution of prime numbers // Dimitris Koukoulopoulos.
作者:	Koukoulopoulos, Dimitris,
面頁冊數:	1 online resource (pages cm.)
標題:	Numbers, Prime. -
電子資源:	http://www.ams.org/gsm/203
電子資源:	https://doi.org/10.1090/gsm/203
ISBN:	9781470454203 (online)

The distribution of prime numbers /
Koukoulopoulos, Dimitris,1984-

The distribution of prime numbers /[electronic resource] Dimitris Koukoulopoulos. - 1 online resource (pages cm.) - Graduate Studies in Mathematics, v. 203.

Includes bibliographical references and index.

And then there were infinitely many

Access is restricted to licensed institutions

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

Mode of access : World Wide Web

ISBN: 9781470454203 (online)Subjects--Topical Terms:

521084
Numbers, Prime.

LC Class. No.: QA246 / .K68 2019

Dewey Class. No.: 512.7/3

The distribution of prime numbers /
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245 1 4 $a The distribution of prime numbers / $h [electronic resource] $c Dimitris Koukoulopoulos.
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490 0 $a Graduate Studies in Mathematics, $v v. 203
504 $a Includes bibliographical references and index.
505 0 0 $t And then there were infinitely many $t Asymptotic estimates $t Combinatorial ways to count primes $t The Dirichlet convolution $t Dirichlet series $t An explicit formula for counting primes $t The Riemann zeta function $t The Perron inversion formula $t The Prime Number Theorem $t Dirichlet characters $t Fourier analysis on finite abelian groups $t Dirichlet $L$-functions $t The Prime Number Theorem for arithmetic progressions $t Primes and multiplicative functions $t Evolution of sums of multiplicative functions $t The distribution of multiplicative functions $t Large deviations $t Twin primes $t The axioms of sieve theory $t The Fundamental Lemma of Sieve Theory $t Applications of sieve methods $t Selberg's sieve $t Sieving for zero-free regions $t Vinogradov's method $t Ternary arithmetic progressions $t Bilinear forms and the large sieve $t The Bombieri-Vinogradov theorem $t The least prime in an arithmetic progression $t Small gaps between primes $t Large gaps between primes $t Irregularities in the distribution of primes $t The Riemann-Stieltjes integral $t The Fourier and the Mellin transforms $t The method of moments
506 1 $a Access is restricted to licensed institutions
533 $a Electronic reproduction. $b Providence, Rhode Island : $c American Mathematical Society. $d 2019
538 $a Mode of access : World Wide Web
588 $a Description based on print version record.
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650 7 $a Number theory -- Instructional exposition (textbooks, tutorial papers, etc.). $2 msc $3 3775525
650 7 $a Number theory -- Multiplicative number theory. $2 msc $3 3775783
650 7 $a Number theory -- Zeta and $L$-functions: analytic theory. $2 msc $3 3775784
776 0 $i Print version: $a Koukoulopoulos, Dimitris, 1984- $t distribution of prime numbers / $w (DLC) 2019028661 $x 1065-7339 $z 9781470447540
856 4 $3 Contents $u http://www.ams.org/gsm/203
856 4 $3 Contents $u https://doi.org/10.1090/gsm/203