Skip to main content

Problems in Analytic Number Theory

  • Textbook
  • © 2008
  • Latest edition


  • Contains a combination of well-organized theory and problems
  • The problems successfully guide students through the most important areas of analytic number theory
  • Includes more than 500 exercises at varying levels of difficulty
  • Covers an improved Eratosthenes sieve, without the typical combinatorics
  • Includes a clear exposition of Brun’s and Selberg’s sieves
  • Includes supplementary material:

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

Part of the book sub series: Readings in Mathematics (READMATH)

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 69.95
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

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

Similar content being viewed by others


Table of contents (22 chapters)

  1. Problems

  2. Solutions


M.R. Murty

Problems in Analytic Number Theory

"The reviewer strongly approves of the problem-based approach to learning, and recommends this book to any student of analytic number theory."


From the reviews of the second edition:

“This expanded and corrected second edition of this useful and interesting book has a new chapter on the topic of equidistribution. … this monograph gives important results and techniques for specific topics, together with many exercises. … I do enjoy this book … and I imagine when I take the graduate course in the subject that it will be of a greater benefit, which is why I offered such a high rating.” (Philosophy, Religion and Science Book Reviews,, July, 2013)

"The second edition of the book has eleven chapters … . the book can be used both as a problem book (as its title shows) and also as a textbook (as the series in which the book is published shows). … is ideal as a text for a first course in analytic number theory, either at the senior undergraduate or the graduate level. … I believe that this book will be very useful for students, researchers and professors. It is well written … ." (Mehdi Hassani, MathDL, April, 2008)

Authors and Affiliations

  • Department of Mathematics & Statistics, Queen’s University, Kingston, Canada

    M. Ram Murty

Bibliographic Information

  • Book Title: Problems in Analytic Number Theory

  • Authors: M. Ram Murty

  • Series Title: Graduate Texts in Mathematics

  • DOI:

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag New York 2008

  • Hardcover ISBN: 978-0-387-72349-5Published: 18 December 2007

  • Softcover ISBN: 978-1-4419-2477-3Published: 19 November 2010

  • eBook ISBN: 978-0-387-72350-1Published: 16 April 2008

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 2

  • Number of Pages: XXII, 506

  • Topics: Number Theory, Combinatorics

Publish with us