Analytic Properties of Automorphic L-Functions

Released on by Stephen Gelbart
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  • Analytic Properties of Automorphic L-Functions Book Detail

  • Author : Stephen Gelbart
  • Release Date : 2014-07-14
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 142
  • ISBN 13 : 1483261034
  • File Size : 96,96 MB
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Analytic Properties of Automorphic L-Functions by Stephen Gelbart PDF Summary

Book Description: 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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Lectures on Automorphic L-functions

Lectures on Automorphic L-functions

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James W. Cogdell, Lectures on $L$-functions, converse theorems, and functoriality for $GL_n$: Preface Modular forms and their $L$-functions Automorphic forms Au