Introduction to analytic and probabilistic number theory

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Introduction to analytic and probabilistic number theory / Gérald Tenenbaum ; [translated by C.B. Thomas]

資料種別:

図書

出版情報:

Cambridge [England] ; New York : Cambridge University Press, 1995

形態:

xiv, 448 p. ; 24 cm

シリーズ名:

Cambridge studies in advanced mathematics ; 46 <BA00109761>

著者名:

ISBN:

9780521412612 [0521412617] (: hardback)

書誌ID:

BA25135353

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Introduction à la theórie analytique et probabiliste des nombres

注記:

"Transferred to digital printing 2004"--T.p. verso of 2004 printing
Includes bibliography (p. [424]-442) and index
"This book is a revised, updated, and sightly expanded version of the text which appeared (in French) as issue number 13 of the series Publication de l'Institut Élie Cartan in the autumn of 1990"--Pref

主題:

Number theory; Probabilistic number theory

言語:

英語

目次情報:

Foreword

Notation

Elementary Methods: Some tools from real analysis / Part I：

Prime numbers / 1：

Arithmetic functions / 2：

Average orders / 3：

Sieve methods / 4：

Extremal orders / 5：

The method of van der Corput / 6：

Methods of Complex Analysis / Part II：

Generating functions: Dirichlet series

Summation formulae

The Riemann zeta function

The Prime Number Theorem and the Riemann Hypothesis

The Selberg-Delange method

Two arithmetic applications

Tauberian theorems / 7：

Prime numbers in arithmetic progressions / 8：

Probabilistic Methods / Part III：

Densities

Limiting distribution of arithmetic functions

Normal order

Distribution of additive functions and mean values of multiplicative functions

Integers free of large prime factors. The saddle-point method

Integers free of small prime factors

Bibliography

Index.

Foreword

Notation

Elementary Methods: Some tools from real analysis / Part I：

Prime numbers / 1：

Arithmetic functions / 2：

Average orders / 3：

続きを見る

東工大ブックレビュー

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