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Author:   Gerald Tenenbaum
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   3rd Revised edition
Volume:   163
Weight:   1.280kg
ISBN:  

9780821898543

ISBN 10:   082189854
Pages:   629
Publication Date:   30 August 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Elementary methods Some tools from real analysis Prime numbers Arithmetic functions Average orders Sieve methods Extremal orders The method of van der Corput Diophantine approximation 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 Probabilistic methods Densities Limiting distributions of arithmetic functions Normal order Distribution of additive functions and mean values of multiplicative functions Friable integers The saddle-point method Integers free of small factors Bibliography Index

Reviews

The author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurate - Mathematical Reviews

oThe author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurateo. - Mathematical Reviews

Author Information

Gerald Tenenbaum, Institut Elie Cartan, Vandoeuvre-les Nancy, France.

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