Automorphic Forms and L-Functions for the Group GL(n,R): 99 (Cambridge Studies in Advanced Mathematics, Series Number 99) - Softcover

Goldfeld, Dorian

Softcover

ISBN 10: 1107565022 ISBN 13: 9781107565029

Publisher: Cambridge University Press, 2015

Synopsis

This book presents a self-contained graduate-level introduction to the topic of L-functions.

About this title

Review

'... a gentle introduction to this fascinating new subject. The presentation is very explicit and many examples are worked out with great detail ... This book should be of great interest to students beginning with the theory of modular forms or for more advanced readers wanting to know about general L-functions.' Emmanuel P. Royer, Mathematical Reviews

'This book, whose clear and sometimes simplified proofs make the basic theory of automorphic forms on GL(n) accessible to a wide audience, will be valuable for students. It nicely complements D. Bump's book (Automorphic Forms and Representations, Cambridge, 1997), which offers a greater emphasis on representation theory and a different selection of topics.' Zentralblatt MATH

'Unfortunately, when n > 2 the GL(n) theory is not very accessible to the student of analytic number theory, yet it is increasing in importance. [This book] addresses this problem by developing a large part of the theory in a way that is carefully designed to make the field accessible ... much of the literature is written in the adele language, and seeing how it translates into classical terms is both useful and enlightening ... This is a unique and very welcome book, one that the student of automorphic forms will want to study, and also useful to experts.' Daniel Bump, SIAM Review

Book Description

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with basic knowledge of classical analysis, complex variable theory, and algebra.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2015
• Language: English
• ISBN 10: 1107565022
• ISBN 13: 9781107565029
• Binding: Paperback
• Number of pages: 508