# Introduction to analytic number theory

Apostol, Tom M.

Introduction to analytic number theory - New Delhi: Narosa, 1998. - xii, 338 pages ; - Undergraduate texts in mathematics. .

"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.

9780387901633 0387901639 9788185015125 8185015120

Mathematics.

Number theory.

512.73 / APO

Introduction to analytic number theory - New Delhi: Narosa, 1998. - xii, 338 pages ; - Undergraduate texts in mathematics. .

"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.

9780387901633 0387901639 9788185015125 8185015120

Mathematics.

Number theory.

512.73 / APO