Automorphic Forms and Representations

by Daniel Bump

Overview

This book covers both the classical and representation theoretic views of automorphic forms in a style that is accessible to graduate students entering the field. The treatment is based on complete proofs, which reveal the uniqueness principles underlying the basic constructions. The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the Weil representation, the Rankin-Selberg method and the triple L-function, and examines this subject matter from many different and complementary viewpoints. Researchers as well as students in algebra and number theory will find this a valuable guide to a notoriously difficult subject.

Product Details

ISBN-13:	9780521658188
Publisher:	Cambridge University Press
Publication date:	11/28/1998
Series:	Cambridge Studies in Advanced Mathematics , #55
Edition description:	New Edition
Pages:	592
Product dimensions:	6.06(w) x 9.02(h) x 1.34(d)

Table of Contents

1. Modular forms; 2. Automorphic forms and representations of GL( 2, R); 3. Automorphic representations; 4. GL(2) over a p-adic field.

Editorial Reviews

"This outstanding book covers, from a variety of points of view, the theory of automorphic forms on GL(2)....It comprises a solid foundation for the serious student or the researcher interested in automorphic forms, and contains a wealth of information which is not readily accessible in textbook form elsewhere. The book also features well thought out exercises at a variety of levels....this book covers a large amount of material concerning automorphic forms on GL(2), and the material is presented from a vantage far broader. The careful reader will have taken a significant step on the path to contemporary research in this important and beautiful area." Mathematical Reviews

From the Publisher