Euler Products and Eisenstein Series (CBMS Regional Conference Series in Mathematics) [Paperback]

Goro Shimura (Author)

Book Description

Publication Date: May 23, 1997 | Series: Cbms Regional Conference Series in Mathematics (Book 93)

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. <P>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, the reader will find the proofs of many of them, as well as systematic expositions of the topics. This is the first book in which the Hecke theory of a general (nonsplit) classical group is treated.

Editorial Reviews

Review

Has many didactic features that make it worthy of study by both graduate students and researchers. --Mathematical Reviews

Product Details

• Paperback: 259 pages
• Publisher: American Mathematical Society (May 23, 1997)
• Language: English
• ISBN-10: 0821805746
• ISBN-13: 978-0821805749
• Product Dimensions: 9.7 x 7 x 0.7 inches
• Shipping Weight: 1 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #3,185,919 in Books (See Top 100 in Books)

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