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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-xvi
  2. Problems

    1. Front Matter
      Pages 1-1
    2. M. Ram Murty
      Pages 3-15
    3. M. Ram Murty
      Pages 17-33
    4. M. Ram Murty
      Pages 35-51
    5. M. Ram Murty
      Pages 53-68
    6. M. Ram Murty
      Pages 69-83
    7. M. Ram Murty
      Pages 85-99
    8. M. Ram Murty
      Pages 101-113
    9. M. Ram Murty
      Pages 115-126
    10. M. Ram Murty
      Pages 127-145
    11. M. Ram Murty
      Pages 147-170
  3. Solutions

    1. Front Matter
      Pages 171-171
    2. M. Ram Murty
      Pages 173-210
    3. M. Ram Murty
      Pages 211-245
    4. M. Ram Murty
      Pages 247-278
    5. M. Ram Murty
      Pages 279-302
    6. M. Ram Murty
      Pages 303-330
    7. M. Ram Murty
      Pages 331-356
    8. M. Ram Murty
      Pages 357-375
    9. M. Ram Murty
      Pages 377-395
    10. M. Ram Murty
      Pages 397-422
    11. M. Ram Murty
      Pages 423-446
  4. Back Matter
    Pages 447-456

About this book

Introduction

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

Keywords

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

Authors and affiliations

  • M. Ram Murty
    • 1
  1. 1.Department of MathematicsQueen’s UniversityKingstonCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3441-6
  • Copyright Information Springer-Verlag New York 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-3443-0
  • Online ISBN 978-1-4757-3441-6
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site