# Introduction to analytic number theory

Material type: TextSeries: Undergraduate texts in mathematicsPublication details: New Delhi: Narosa, 1998Description: xii, 338 pagesISBN: 9780387901633; 0387901639 ; 9788185015125 ; 8185015120Subject(s): Mathematics | Number theoryDDC classification: 512.73Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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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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"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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