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＜電子ブック＞
Introduction to analytic and probabilistic number theory / G�erald Tenenbaum ; translated by Patrick Ion
(Graduate Studies in Mathematics ; v. 163)

版	Third edition.
出版者	Providence, Rhode Island : American Mathematical Society
出版年	[2015]
本文言語	英語
大きさ	1 online resource (xxiv, 629 pages)
著者標目	*Tenenbaum, G�erald
件　名	LCSH:Number theory LCSH:Probabilistic number theory FREE:Number theory -- Research exposition (monographs, survey articles)  全ての件名で検索 FREE:Number theory -- Elementary number theory -- Elementary number theory  全ての件名で検索 FREE:Number theory -- Diophantine approximation, transcendental number theory -- Diophantine approximation, transcendental number theory  全ての件名で検索 FREE:Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms  全ての件名で検索 FREE:Number theory -- Exponential sums and character sums -- Exponential sums and character sums  全ての件名で検索 FREE:Number theory -- Zeta and $L$-functions: analytic theory -- Zeta and $L$-functions: analytic theory  全ての件名で検索 FREE:Number theory -- Multiplicative number theory -- Multiplicative number theory  全ての件名で検索
内容注記	Chapter I.0. Some tools from real analysis Chapter I.1. Prime numbers Chapter I.2. Arithmetic functions Chapter I.3. Average orders Chapter I.4. Sieve methods Chapter I.5. Extremal orders Chapter I.6. The method of van der Corput Chapter I.7. Diophantine approximation Chapter II.0. The Euler gamma function Chapter II.1. Generating functions: Dirichlet series Chapter II.2. Summation formulae Chapter II.3. The Riemann zeta function Chapter II.4. The prime number theorem and the Riemann hypothesis Chapter II.5. The Selberg-Delange method Chapter II.6. Two arithmetic applications Chapter II.7. Tauberian theorems Chapter II.8. Primes in arithmetic progressions Chapter III.1. Densities Chapter III.2. Limiting distributions of arithmetic functions Chapter III.3. Normal order Chapter III.4. Distribution of additive functions and mean values of multiplicative functions Chapter III.5. Friable integers. The saddle-point method Chapter III.6. Integers free of small factors
一般注記	Includes bibliographical references (pages 591-615) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2015 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/163 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/163 Information=Contents

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