Overview
- Well-written monograph on a difficult but attractive subject in number theory
- Provides an excellent easy-to-read introduction to the modern analytic theory of L-functions
- Each chapter is accompanied by exercises ?
- Includes supplementary material: sn.pub/extras
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (9 chapters)
Keywords
About this book
This book systematically develops some methods for proving the non-vanishing of certain L-functions at points in the critical strip. Researchers in number theory, graduate students who wish to enter into the area and non-specialists who wish to acquire an introduction to the subject will benefit by a study of this book. One of the most attractive features of the monograph is that it begins at a very basic level and quickly develops enough aspects of the theory to bring the reader to a point where the latest discoveries as are presented in the final chapters can be fully appreciated.
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This book has been awarded the Ferran Sunyer I Balaguer 1996 prize (…)The deepest results are contained in Chapter 6 on quadratic twists of modular L-functions with connections to the Birch-Swinnerton-Dyer conjecture. (…) [It] is well-suited and stimulating for the graduate level because there is a wealth of recent results and open problems, and also a number of exercices and references after each chapter.
(Zentralblatt MATH)
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Each chapter is accompanied by exercices, and there is a fair amount of introductory material, general discussion and recommended reading. (…) it will be a useful addition to the library of any serious worker in this area.
(Mathematical Reviews)
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(…) well written monograph, intended not only for researchers and graduate students specializing in number theory, but also for non-specialists desiring to acquire an introduction to this difficult but very attractive and beautiful domain of investigation.
(Mathematica)
Reviews
From the book reviews:
“This is the softcover reprint of a monograph that was awarded the Ferran Sunyer i Balaguer prize in 1996. It is devoted to a recurring theme in number theory, namely that the non-vanishing of L-functions implies important arithmetical results. … Giving a well-informed overview of related results it will continue to be an important source of information for graduate students and researchers … .” (Ch. Baxa, Monatshefte für Mathematik, 2014)Authors and Affiliations
About the authors
M. Ram Murty is a Professor of Mathematics at the Queen's University in Kingston, ON, Canada.
V. Kumar Murty is a Professor of Mathematics at the University of Toronto.
Bibliographic Information
Book Title: Non-vanishing of L-Functions and Applications
Authors: M. Ram Murty, V. Kumar Murty
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-3-0348-0274-1
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Springer Basel AG 1997
Softcover ISBN: 978-3-0348-0273-4Published: 05 January 2012
eBook ISBN: 978-3-0348-0274-1Published: 03 January 2012
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: XI, 196
Number of Illustrations: 1 b/w illustrations
Topics: Number Theory, Algebraic Geometry