Problems in Analytic Number Theory

  • M. Ram Murty

Part of the Graduate Texts in Mathematics book series (GTM, volume 206)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Problems

    1. Pages 69-83
    2. Pages 85-99
    3. Pages 101-113
    4. Pages 115-126
    5. Pages 127-146
    6. Pages 147-170
    7. Pages 171-195
  3. Solutions

    1. Pages 199-236
    2. Pages 273-304
    3. Pages 329-356
    4. Pages 357-383
    5. Pages 385-402
    6. Pages 403-421
    7. Pages 423-447
    8. Pages 449-473
    9. Pages 475-496
  4. Back Matter
    Pages 497-502

About this book


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


Analytic number theory Prime Prime number number theory p-adic analytic methods

Authors and affiliations

  • M. Ram Murty
    • 1
  1. 1.Department of Mathematics & StatisticsQueen’s UniversityKingstonCanada

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media, LLC 2008
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-72349-5
  • Online ISBN 978-0-387-72350-1
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site
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