Problems in analytic number theory
This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime...
| Main Author: | Murty, Maruti Ram. |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
©2008.
New York : [2008] |
| Physical Description: |
1 online resource (xxi, 502 pages). |
| Edition: | 2nd ed. |
| Series: |
Graduate texts in mathematics ;
206. Graduate texts in mathematics. Readings in mathematics. |
| Subjects: |
| Summary: |
This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on equidistribution. About the first edition: " ... this monograph gives important results and techniques for specific topics, together with many exercises; it is not possible to describe adequately the wealth of material covered in this book."--Wolfgang Schwarz, Zentralblatt. |
|---|---|
| Item Description: |
Includes bibliographical references (pages 497-498) and index. Problems: Arithmetic functions ; Primes in arithmetic functions ; The prime number theorem ; The method of contour integration ; Functional equations ; Hadamard products ; Explicit formulas ; The Selberg class ; Sieve methods ; p-adic methods ; Equidistribution -- Solutions: Arithmetic functions ; Primes in arithmetic progressions ; The prime number theorem ; The method of contour integration ; Functional equations ; Hadamard products ; Explicit formulas ; The Selberg class ; Sieve methods ; p-adic methods ; Equidistribution. This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on equidistribution. About the first edition: " ... this monograph gives important results and techniques for specific topics, together with many exercises; it is not possible to describe adequately the wealth of material covered in this book."--Wolfgang Schwarz, Zentralblatt. |
| Physical Description: |
1 online resource (xxi, 502 pages). |
| Bibliography: |
Includes bibliographical references (pages 497-498) and index. |
| ISBN: |
9780387723501 0387723501 |