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## Graduate Texts in Mathematics: Multiplicative Number Theory, Third Edition (Hardback)"This book thoroughly examines the distribution of prime numbers in arithmetic progressions." — From the back cover ## $54.99 |

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Please contact us if you've got questions about this product.## Condition

**LIKE NEW:** This book is in excellent, like-new condition. It was printed on acid-free paper.

## Description

This is Volume 74 in Springer’s **Graduate Texts in Mathematics** series.

Continued from the back cover: “[This book] covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetic progressions, the theorem of Siegel, and functional equations of the L-functions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The third edition includes a large number of revisions and corrections as well as a new section with references to more recent wok in the field.”

**Sections**

- 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*Functions - Properties of the Γ Function
- Integral Functions of Order 1
- The Infinite Products for
*ζ(s)*and*ζ(s, χ)* - A Zero-Free Region for
*ζ(s)* - Zero-Free Region for
*L(s, χ)* - The Number
*N(T)* - The Number
*N(T, χ)* - The Explicit Formula for
*ψ(x)* - The Prime Number Theorem
- The Explicit Formula for
*ψ(x, χ)* - 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
- An Exponential Sum Formed with Primes
- Sums of Three Primes
- The Large Sieve
- Bombieri’s Theorem
- An Average Result
- References to Other Work

## Details

- SKU:
- 3055
- Subject:
- Mathematics
- Author:
- Davenport, Harold
- Publisher:
- Springer
- Publish Date:
- 2000 (First Printing)
- Format:
- Hardback
- Weight (pounds):
- 0.91
- Dimensions (W”xL”xH”):
- 6.2″x9.5″x0.6″
- ISBN-13:
- 9780387950976
- ISBN-10:
- 0387950974
- Grade Level:
- Graduate

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