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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

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Previous	512.57 CAR The theory of spinors	512.7 NIV An introduction to the theory of numbers /	512.72 BUR Elementary Number Theory	512.73 APO Introduction to analytic number theory	512.74 Proceedings: Lecture Notes in Mathematics/ 1st 1982 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Montecatini, Italy, June 10-18, 1982	512.9 AUV Algebra: for College Students	512.9 SAF Student's solutions manual to accompany Barnett & Kearns Intermediate algebra: structure and use,	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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