Non-vanishing of L-Functions and Applications

  • M. Ram Murty
  • V. Kumar Murty

Part of the Modern Birkhäuser Classics book series (MBC)

Table of contents

  1. Front Matter
    Pages i-xi
  2. M. Ram Murty, V. Kumar Murty
    Pages 1-3
  3. M. Ram Murty, V. Kumar Murty
    Pages 5-23
  4. M. Ram Murty, V. Kumar Murty
    Pages 25-64
  5. M. Ram Murty, V. Kumar Murty
    Pages 65-73
  6. M. Ram Murty, V. Kumar Murty
    Pages 75-92
  7. M. Ram Murty, V. Kumar Murty
    Pages 93-132
  8. M. Ram Murty, V. Kumar Murty
    Pages 133-176
  9. M. Ram Murty, V. Kumar Murty
    Pages 177-185
  10. M. Ram Murty, V. Kumar Murty
    Pages 187-191
  11. Back Matter
    Pages 192-196

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.


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.



Grad Prime Prime number algebraic geometry number theory

Authors and affiliations

  • M. Ram Murty
    • 1
  • V. Kumar Murty
    • 2
  1. 1.Jeffery Hall, Dept. of Mathematics & StatisticsQueen's UniversityKingstonCanada
  2. 2., Department of MathematicsUniversity of TorontoTorontoCanada

Bibliographic information

Industry Sectors
Finance, Business & Banking