Introduction to analytic and probabilistic number theory /
General Material Designation
[Book]
First Statement of Responsibility
Gérald Tenenbaum ; translated by Patrick Ion
EDITION STATEMENT
Edition Statement
Third edition
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xxiv, 629 pages ;
Dimensions
27 cm
SERIES
Series Title
Graduate studies in mathematics,
Volume Designation
volume 163
ISSN of Series
1065-7339 ;
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 591-615) and index
CONTENTS NOTE
Text of Note
Part I. Elementary methods ; Prime numbers ; Arithmetic functions ; Average orders ; Sieve methods ; Extremal orders ; The method of van der Corput ; Diophantine approximation -- Part II. Complex analysis methods ; The Euler Gamma function ; 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 ; Primes in arithmetic progressions -- Part III. Probabilistic methods ; Densities ; Limiting distributions of arithmetic functions ; Normal order ; Distribution of addictive functions ; Friable integers. The saddle-point method ; Integers free of small prime factors
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UNIFORM TITLE
General Material Designation
Introduction à la theórie analytique et probabiliste des nombres.