Euler Products and Eisenstein Series / Edition 1

Euler Products and Eisenstein Series / Edition 1

by Goro Shimura
     
 

ISBN-10: 0821805746

ISBN-13: 9780821805749

Pub. Date: 05/23/1997

Publisher: American Mathematical Society

This volume has three chief objectives: 1) the determination of local Euler factors on classical groups in an explicit rational form; 2) Euler products and Eisenstein series on a unitary group of an arbitrary signature; and 3) a class number formula for a totally definite hermitian form. Though these are new results that have never before been published,

Overview

This volume has three chief objectives: 1) the determination of local Euler factors on classical groups in an explicit rational form; 2) Euler products and Eisenstein series on a unitary group of an arbitrary signature; and 3) a class number formula for a totally definite hermitian form. Though these are new results that have never before been published, Shimura starts with a quite general setting. He includes many topics of an expository nature so that the book can be viewed as an introduction to the theory of automorphic forms of several variables, Hecke theory in particular. Eventually, the exposition is specialized to unitary groups, but they are treated as a model case so that the reader can easily formulate the corresponding facts for other groups. There are various facts on algebraic groups and their localizations that are standard but were proved in some old papers or just called well-known". In this book

Product Details

ISBN-13:
9780821805749
Publisher:
American Mathematical Society
Publication date:
05/23/1997
Series:
Conference Board of the Mathematical Science Series, #93
Pages:
259

Related Subjects

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >