Problems in Analytic Number Theory

Authors: Murty, M. Ram

Contains a large selection of problems with fully worked-out solutions
Covers an improved Eratosthenes sieve, without the typical combinatorics
Focuses on the distribution of prime numbers

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ISBN 978-0-387-72350-1
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ISBN 978-0-387-72349-5
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About this Textbook: 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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Reviews: 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."
—MATHEMATICAL REVIEWS
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, bookinspections.wordpress.com, 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)

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