Non-vanishing of L-Functions and Applications by M. Ram MurtyNon-vanishing of L-Functions and Applications by M. Ram Murty

Non-vanishing of L-Functions and Applications

byM. Ram Murty, V. Kumar Murty

Paperback | January 5, 2012

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This volume develops methods for proving the non-vanishing of certain L-functions at points in the critical strip. It begins at a very basic level and continues to develop, providing readers with a theoretical foundation that allows them to understand the latest discoveries in the field.

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.
Title:Non-vanishing of L-Functions and ApplicationsFormat:PaperbackDimensions:196 pagesPublished:January 5, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3034802730

ISBN - 13:9783034802734


Table of Contents

Preface.- Introduction.- Chapter 1 The Prime Number Theorem and Generalizations.- Chapter 2 Artin L-functions.- Chapter 3 Equidistribution and L-functions.- Chapter 4 Modular Forms and Dirichlet Series.- Chapter 5 Dirichlet L-functions.- Chapter 6 Non-vanishing of Quadratic Twists of Modular L-functions.- Chapter 7 Selberg's Conjectures.- Chapter 8 Suggestions for further reading.- Author index.- Subject index.?

Editorial 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)