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Introduction to analytic number theory

Author: Tom M Apostol
Publisher: New York : Springer-Verlag, 1976.
Series: Undergraduate texts in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
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"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to  Read more...

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Genre/Form: Einführung
Lehrbuch
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Tom M Apostol
ISBN: 0387901639 9780387901633 3540901639 9783540901631
OCLC Number: 1859863
Notes: "First volume of a two-volume textbook which evolved from a course (Mathematics 160) offered at the California Institute of Technology" and continued by the author's Modular functions and Dirichlet series in number theory.
Description: xii, 338 pages ; 24 cm.
Contents: The fundamental theorem of arithmetic --
Arithmetical functions and Dirichlet multiplication --
Averages of arithmetical functions --
Some elementary theorems on the distribution of prime numbers --
Congruences --
Finite abelian groups and their characters --
Dirichlet'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 [Zeta](s) and L(s, [Chi]) --
Analytic proof of the prime number theorem --
Partitions.
Series Title: Undergraduate texts in mathematics.
Responsibility: Tom M. Apostol.

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