Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics, Series Number 55) - Hardcover

Bump, Daniel

Hardcover

ISBN 10: 052155098X ISBN 13: 9780521550987

Publisher: Cambridge University Press, 1997

Synopsis

Intermediate in level between an advanced textbook and a monograph, this book covers both the classical and representation theoretic views of automorphic forms in a style which 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, examining this subject matter from many different and complementary viewpoints. Researchers as well as students will find this a valuable guide to a notoriously difficult subject.

About this title

Review

'This important textbook closes a gap in the existing literature, for it presents the 'representation theoretic' viewpoint of the theory of automorphic forms on GL(2) ... it will become a stepping stone for many who want to study the Corvallis Proceedings or the Lecture Notes by H. Jaquet and R. Langlands or seek a pathway to R. Langland's conjectures.' Monatshefte für Mathematik

'Students and researchers will find the book an understandable and penetrating treatment of a beautiful theory.' European Mathematical Society

Book Description

The theory of automorphic forms is a cornerstone in modern number theory, an essential ingredient of the proof of Fermat's Last Theorem. This book presents the subject in a style which is accessible to graduate students entering the field, yet includes topics on the research frontier.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1997
• Language: English
• ISBN 10: 052155098X
• ISBN 13: 9780521550987
• Binding: Hardcover
• Number of pages: 588