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Analytic Properties of Automorphic L-Functions

Analytic Properties of Automorphic L-Functions by Stephen Gelbart
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Analytic Properties of Automorphic L-Functions is a three-chapter text that covers considerable research works on the automorphic L-functions attached by Langlands to reductive algebraic groups.

Chapter I focuses on the analysis of Jacquet-Langlands methods and the Einstein series and Langlands’ so-called “Euler products. This chapter explains how local and global zeta-integrals are used to prove the analytic continuation and functional equations of the automorphic L-functions attached to GL(2). Chapter II deals with the developments and refinements of the zeta-inetgrals for GL(n). Chapter III describes the results for the L-functions L (s, ?, r), which are considered in the constant terms of Einstein series for some quasisplit reductive group.

This book will be of value to undergraduate and graduate mathematics students.
Elsevier Science; July 2014
142 pages; ISBN 9781483261034
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Title: Analytic Properties of Automorphic L-Functions
Author: Stephen Gelbart; Freydoon Shahidi; J. Coates; S. Helgason