Introduction to Analytic Number Theory

Name: Introduction to Analytic Number Theory
Availability: InStock
ISBN: 9780387901633

ISBN-10: 0387901639

ISBN-13: 9780387901633

Edition: 1976

Authors: Tom M. Apostol

List price: $69.95

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Description:

This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet L-functions. Also included is an introduction to partitions. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter.…

Book details

List price: $69.95
Copyright year: 1976
Publisher: Springer New York
Publication date: 5/11/1976
Binding: Hardcover
Pages: 340
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 1.518
Language: English

Tom Apostol is an Emeritus Professor of Mathematics at the California Institute of Technology.




The Fundamental Theorem of Arithmetic



Arithmetical Functions and Dirichlet Multiplication



Averages of Arithmetical Function



Some Elementary Theorems on the Distribution of Prime Numbers



Congruences



Finite Abelian Groups and Their Characters



Cirichlet's Theorem on Primes in Arithmetic Progressions



Periodic Arithmetical Functions and Gauss Sums



Quadratic Residues and the Quadratic Reciprocity Law



Primitive Roots



Dirichlet Series and Euler Products



The Functions



Analytic Proof of the Prime Number Theorem



Partitions