Cover for Analytic Properties of Automorphic L-Functions

Analytic Properties of Automorphic L-Functions

Book1988

Authors:

Stephen Gelbart and Freydoon Shahidi

Analytic Properties of Automorphic L-Functions

Book1988

 

Cover for Analytic Properties of Automorphic L-Functions

Authors:

Stephen Gelbart and Freydoon Shahidi

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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 alg ... read full description

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  2. Book chapterNo access

    INTRODUCTION

    Pages 1-4

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    CHAPTER I - FIRST STEPS (1965–1970)

    Pages 5-39

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    CHAPTER II - DEVELOPMENTS AND REFINEMENTS (1970–1982)

    Pages 41-85

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    CHAPTER III - RECENT DEVELOPMENTS (1982– )

    Pages 87-117

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    REFERENCES

    Pages 119-128

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    INDEX

    Pages 129-131

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    Perspectives in Mathematics

    Page ibc1

About the 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.

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.

Details

ISBN

978-0-12-279175-8

Language

English

Published

1988

Copyright

Copyright © 1988 Elsevier Inc. All rights reserved.

Imprint

Academic Press

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Authors

Stephen Gelbart

Department of Mathematics, The Weizmann Institute of Science, Rehovot, Israel

Freydoon Shahidi

Department of Mathematics, Purdue University, West Lafayette, Indiana