Multiplicative number theory
 Responsibility
 Harold Davenport.
 Edition
 3rd ed. / revised by Hugh L. Montgomery.
 Imprint
 New York : Springer, 2000.
 Physical description
 xiii, 177 p. ; 25 cm.
 Series
 Graduate texts in mathematics ; 74.
Access
Available online
Science Library (Li and Ma)
Stacks
Call number  Status 

QA241 .D32 2000  Unknown 
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Creators/Contributors
 Author/Creator
 Davenport, Harold, 19071969.
 Contributor
 Montgomery, Hugh L.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 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, ZeroFree Region for zeta(s). ZeroFree 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 PolyaVinogradov Inequality. Further Prime Number Sums.
 (source: Nielsen Book Data)9780387950976 20160615
 Publisher's Summary
 The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions and the theorem of Siegel. It also presents a simplified, improved version of the large sieve method.
(source: Nielsen Book Data)9780387950976 20160615  Supplemental links

Publisher description
Table of contents only
Table of contents
Subjects
Bibliographic information
 Publication date
 2000
 Series
 Graduate texts in mathematics ; 74
 ISBN
 0387950974 (acidfree paper)
 9780387950976 (acidfree paper)