Modern Birkhäuser Classics

Non-vanishing of L-Functions and Applications

Authors: Murty, M. Ram, Murty, V. Kumar

  • 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 ​
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Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0274-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-0348-0273-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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)

 

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)

 

(…) 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)

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.

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)

Table of contents (9 chapters)

  • Introduction

    Murty, M. Ram (et al.)

    Pages 1-3

  • Chapter 1 The Prime Number Theorem and Generalizations

    Murty, M. Ram (et al.)

    Pages 5-23

  • Chapter 2 Artin L-Functions

    Murty, M. Ram (et al.)

    Pages 25-64

  • Chapter 3 Equidistribution and L-Functions

    Murty, M. Ram (et al.)

    Pages 65-73

  • Chapter 4 Modular Forms and Dirichlet Series

    Murty, M. Ram (et al.)

    Pages 75-92

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0274-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-0348-0273-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Non-vanishing of L-Functions and Applications
Authors
Series Title
Modern Birkhäuser Classics
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-0274-1
DOI
10.1007/978-3-0348-0274-1
Softcover ISBN
978-3-0348-0273-4
Series ISSN
2197-1803
Edition Number
1
Number of Pages
XI, 196
Number of Illustrations and Tables
1 b/w illustrations
Topics