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

Edition	Third edition.
Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2015]
Language	English
Size	1 online resource (xxiv, 629 pages)
Authors	*Tenenbaum, G�erald
Subjects	LCSH:Number theory LCSH:Probabilistic number theory FREE:Number theory -- Research exposition (monographs, survey articles)  All Subject Search FREE:Number theory -- Elementary number theory -- Elementary number theory  All Subject Search FREE:Number theory -- Diophantine approximation, transcendental number theory -- Diophantine approximation, transcendental number theory  All Subject Search FREE:Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms  All Subject Search FREE:Number theory -- Exponential sums and character sums -- Exponential sums and character sums  All Subject Search FREE:Number theory -- Zeta and $L$-functions: analytic theory -- Zeta and $L$-functions: analytic theory  All Subject Search FREE:Number theory -- Multiplicative number theory -- Multiplicative number theory  All Subject Search
Contents	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
Notes	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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