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Author:   Harold Davenport ,  H.L. Montgomery ,  Ann Arbor
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   3rd ed. 2000
Volume:   74
Dimensions:   Width: 15.60cm , Height: 1.20cm , Length: 23.40cm
Weight:   1.020kg
ISBN:  

9780387950976

ISBN 10:   0387950974
Pages:   182
Publication Date:   31 October 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

From the contents: Primes in Arithmetic Progression.- Gauss' Sum.- Cyclotomy.- Primes in Arithmetic Progression: The General Modulus.- Primitive Characters.- Dirichlet's Class Number Formula.- The Distribution of the Primes.- Riemann's Memoir.- The Functional Equation of the L Function.- Properties of the Gamma Function.- Integral Functions of Order 1.- The Infinite Products for xi(s) and xi(s,Zero-Free Region for zeta(s).- Zero-Free Regions for L(s, chi).- The Number N(T).- The Number N(T, chi).- The explicit Formula for psi(x).- The Prime Number Theorem.- The Explicit Formula for psi(x,chi).- The Prime Number Theorem for Arithmetic Progressions (I).- Siegel's Theorem.- The Prime Number Theorem for Arithmetic Progressions (II).- The Pólya-Vinogradov Inequality.- Further Prime Number Sums.

Reviews

Das vorliegende Buch ist die 3. Auflage des gleichnamigen Klassikers von Harold Davenport aus dem Jahre 1966. ... Obwohl es heute viele Neuerscheinungen auf dem Gebiet der analytischen Zahlentheorie gibt, sei eindringlich auf dieses klassische, von Meisterhand geschriebene Werk hingewiesen. Es ist hervorragend als Grundlage fur Vorlesungen und Seminare geeignet und sollte in keiner wissenschaftlichen Bibliothek fehlen. Internationale Mathematische Nachrichten, Nr. 187, August 2001

From the reviews of the third edition: The book under review is one of the most important references in the multiplicative number theory, as its title mentions exactly. ! Davenport's book covers most of the important topics in the theory of distribution of primes and leads the reader to serious research topics ! . is very well written. ! is useful for graduate students, researchers and for professors. It is a very good text source specially for graduate levels, but even is fruitful for undergraduates. (Mehdi Hassani, MathDL, July, 2008)

From the reviews of the third edition: The book under review is one of the most important references in the multiplicative number theory, as its title mentions exactly. ... Davenport's book covers most of the important topics in the theory of distribution of primes and leads the reader to serious research topics ... . is very well written. ... is useful for graduate students, researchers and for professors. It is a very good text source specially for graduate levels, but even is fruitful for undergraduates. (Mehdi Hassani, MathDL, July, 2008)

Das vorliegende Buch ist die 3. Auflage des gleichnamigen Klassikers von Harold Davenport aus dem Jahre 1966. ...Obwohl es heute viele Neuerscheinungen auf dem Gebiet der analytischen Zahlentheorie gibt, sei eindringlich auf dieses klassische, von Meisterhand geschriebene Werk hingewiesen. Es ist hervorragend als Grundlage fur Vorlesungen und Seminare geeignet und sollte in keiner wissenschaftlichen Bibliothek fehlen. Internationale Mathematische Nachrichten, Nr. 187, August 2001

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