This informative and exhaustive study 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 the arithmetic progression of primes.
Title: Problems in Analytic Number Theory (Graduate Texts in Mathematics)
Author: Murty, U.S.R.
ISBN: 9780387723495
Binding:
Publisher: Springer-Verlag New York Inc.
Publication Date: 2007-12-18
Number of Pages: 506
Weight: 0.9203 kg
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)
