AUTOMORPHIC REPRESENTATIONS AND L-FUNCTIONS FOR THE GENERAL LINEAR GROUP by Dorian Goldfeld, Joseph Hundley ( 9781107007994 )

Item Details

Title:

AUTOMORPHIC REPRESENTATIONS AND L-FUNCTIONS FOR THE GENERAL LINEAR GROUP

Volume:

v. 2

By:

Dorian Goldfeld, Joseph Hundley

Format:

Hardback

List price:	£79.99
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ISBN 10:

1107007992

ISBN 13:

9781107007994

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

21 April, 2011

Series:

Cambridge Studies in Advanced Mathematics v. 130

Pages:

210

Description:

This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises.

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. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.

Illustrations:

55 exercises

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

Some other items by this author:

ALGEBRAIC METHODS IN CRYPTOGRAPHY (PB)

AUTOMORPHIC FORMS AND L-FUNCTIONS FOR THE GROUP GL(N,R)

AUTOMORPHIC FORMS AND L-FUNCTIONS FOR THE GROUP GL(N,R) (HB)

AUTOMORPHIC FORMS AND L-FUNCTIONS FOR THE GROUP GL(N,R) (PB)