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Introduction to analytic number theory

By: Apostol, Tom MMaterial type: Text

TextSeries: Undergraduate texts in mathematicsPublication details: New Delhi: Narosa, 1998Description: xii, 338 pagesISBN: 9780387901633; 0387901639 ; 9788185015125 ; 8185015120Subject(s): Mathematics | Number theoryDDC classification: 512.73

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.

Summary: "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 undergraduates without any previous knowledge of number theory.

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Holdings
Item type	Current library	Collection	Call number	Status	Barcode
Reference Books	Main Library Reference	Reference	512.73 APO (Browse shelf(Opens below))	Available	009571
Lending Books	Main Library Stacks	Reference	512.73 APO (Browse shelf(Opens below))	Available	002835
Reference Books	Main Library Reference	Reference	512.73 APO (Browse shelf(Opens below))	Available	002686

Total holds: 0

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Previous	512.7 NAR Number Systems	512.72 BUR Elementary number theory	512.72 BUR Elementary Number Theory	512.73 APO Introduction to analytic number theory	512.73 APO Introduction to analytic number theory	512.9434 AGG A Text book on Matrices	512.9434 AYR Schaum's Outline of Theory and Problems of Matrices	Next

"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.

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.

"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 undergraduates without any previous knowledge of number theory.

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