ENGLISH

Introduction to Analytic Number Theory

By Tom M. Apostol

Book information

Publisher
Springer
Year
1976
ISBN
9780387901633, 0387901639
LCC
QA241 .A6
Google Books ID
Il64dZELHEIC
Language
english
Format
DJVU
Filesize
3 MB (2780984 bytes)
Series
Undergraduate Texts in Mathematics
Edition
1ST
Pages
338\350
Time added
2011-06-04 13:46:07

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. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus.

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