Problems in analytic number theory [electronic resource] / M. Ram Murty.

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...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Murty, Maruti Ram
Other title:Analytic number theory.
Format: Electronic eBook
Language:English
Published: New York : Springer, ©2008.
Edition:2nd ed.
Series:Graduate texts in mathematics ; 206.
Graduate texts in mathematics. Readings in mathematics.
Subjects:

MARC

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246 3 0 |a Analytic number theory. 
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490 1 |a Graduate texts in mathematics ;  |v 206.  |a Readings in mathematics. 
504 |a Includes bibliographical references (pages 497-498) and index. 
505 0 |a 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. 
520 |a 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. 
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