Analytic Properties of Automorphic L-Functions

Analytic Properties of Automorphic L-Functions
Author :
Publisher : Academic Press
Total Pages : 142
Release :
ISBN-10 : 9781483261034
ISBN-13 : 1483261034
Rating : 4/5 (34 Downloads)

Book Synopsis Analytic Properties of Automorphic L-Functions by : Stephen Gelbart

Download or read book Analytic Properties of Automorphic L-Functions written by Stephen Gelbart and published by Academic Press. This book was released on 2014-07-14 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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