Multiplicative Number Theory

Name: Multiplicative Number Theory
Price: 66.75 USD
Availability: InStock
ISBN: 9780387950976

ISBN-10: 0387950974

ISBN-13: 9780387950976

Edition: 3rd 2000 (Revised)

Authors: Harold T. Davenport, H. L. Montgomery, Sheldon J. Axler, F. W. Gehring, K. A. Ribet

List price: $79.95

This item qualifies for FREE shipping.

30 day, 100% satisfaction guarantee!

Buy new: $67.64

Marketplace

2 new & used from $66.75

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical 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 3rd edition includes a large number of revisions and corrections as well as a new section with references to more recent work in the field.

Book details

List price: $79.95
Edition: 3rd
Copyright year: 2000
Publisher: Springer New York
Publication date: 10/31/2000
Binding: Hardcover
Pages: 182
Size: 6.14" wide x 9.21" long x 0.24" tall
Weight: 1.100



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 P[$$$][3]lya-Vinogradov Inequality


Further Prime Number Sums