Automorphic Representations and L-Functions for the General Linear Group: Volume 1 (Cambridge Studies in Advanced Mathematics)

Goldfeld, Dorian, Hundley, Joseph

ISBN 10: 052147423X / ISBN 13: 9780521474238

Published by Cambridge University Press, 2011

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Bibliographic Details

• Title: Automorphic Representations and L-Functions for the General Linear Group: Volume 1 (Cambridge Studies in Advanced Mathematics)
• Publisher: Cambridge University Press
• Publication Date: 2011
• Language: English
• ISBN 10: 052147423X
• ISBN 13: 9780521474238
• Binding: Hardcover
• Condition: Like New
• Book Type: book

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Synopsis

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. The authors keep definitions to a minimum and repeat them when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. They also include concrete examples of both global and local representations of GL(n), and present their associated L-functions. The theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several of the proofs are here presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. Finally, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises, this book will motivate students and researchers to begin working in this fertile field of research.

About the Authors

Dorian Goldfeld is a Professor in the Department of Mathematics at Columbia University, New York.

Joseph Hundley is an Assistant Professor in the Department of Mathematics at Southern Illinois University, Carbondale.