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.
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M. Ram Murty is Professor of Mathematics and Queen's National Scholar at Queen's University in Kingston, Ontario, Canada. He received his Ph.D. from MIT in 1980 and was a member of the Institute for Advanced Study and the Tata Institute of Fundamental Research on numerous occasions. He was E.W.R. Steacie Fellow (1991-93), Killam Research Fellow (1998-2000), and elected Fellow of the Royal Society of Canada (1990). His monograph, Non-Vanishing of L-Functions and Applications, written jointly with V. Kumar Murty and published by Birkhäuser-Verlag, won the 1996 Balaguer Prize.
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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