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Analytic Properties of Automorphic L-Functions

  • 1st Edition, Volume 6 - July 14, 2014
  • Authors: Stephen Gelbart, Freydoon Shahidi
  • Editors: J. Coates, S. Helgason
  • Language: English
  • Paperback ISBN:
    9 7 8 - 1 - 4 8 3 2 - 3 9 3 0 - 9
  • eBook ISBN:
    9 7 8 - 1 - 4 8 3 2 - 6 1 0 3 - 4

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… Read more

Analytic Properties of Automorphic L-Functions

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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.