Non-vanishing of L-Functions and Applications / Edition 1

Non-vanishing of L-Functions and Applications / Edition 1

by Ram M. Murty, Kumar V. Murty
     
 

ISBN-10: 3764358017

ISBN-13: 9783764358013

Pub. Date: 11/26/1997

Publisher: Birkhauser Basel

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…  See more details below

Overview

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.

Product Details

ISBN-13:
9783764358013
Publisher:
Birkhauser Basel
Publication date:
11/26/1997
Series:
Progress in Mathematics Series, #157
Pages:
196
Product dimensions:
9.21(w) x 6.14(h) x 0.50(d)

Table of Contents

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

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