E-Book, Englisch, Band Volume 6, 142 Seiten, Web PDF
Reihe: Perspectives in Mathematics
Gelbart / Shahidi / Coates Analytic Properties of Automorphic L-Functions
1. Auflage 2014
ISBN: 978-1-4832-6103-4
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band Volume 6, 142 Seiten, Web PDF
Reihe: Perspectives in Mathematics
ISBN: 978-1-4832-6103-4
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Analytic Properties of Automorphic L-Functions
;4
3;Copyright Page;5
4;Table of Contents;6
5;Acknowledgements;8
6;INTRODUCTION;10
7;CHAPTER I. FIRST STEPS (1965-1970);14
7.1;§1. AN ANALYSIS OF THE METHOD OF JACQUET-LANGLANDS;14
7.2;§2. EISENSTEIN SERIES L· LANGLANDS' "EULER PRODUCTS";30
8;CHAPTER II. DEVELOPMENTS AND REFINEMENTS (1970-1982);50
8.1;§1. ZETA-INTEGRALS FOR GL(n) AND BEYOND;50
8.2;§2. EISENSTEIN SERIES AND GENERIC REPRESENTATIONS;84
9;CHAPTER III. RECENT DEVELOPMENTS (1982- );96
9.1;§1. EXPLICIT CONSTRUCTION OF ZETA-FUNCTIONS Á LA PIATETSKI-SHAPIRO;96
9.2;§2. LANGLANDS' THEORY COMPLETED;111
10;REFERENCES;128
11;INDEX;138
12;Perspectives in Mathematics;142
