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

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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Graduate studies in mathematics 9781470422233
電子リソース
EB00103098

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データ種別 電子ブック
別書名 原タイトル:Introduction �a la the�orie analytique et probabiliste des nombres
分 類 LCC:QA241
DC23:512/.73
書誌ID 4000113083
ISBN 9781470422233

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