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

Goldfeld, Dorian

Softcover

ISBN 10: 1107565022 ISBN 13: 9781107565029

Publisher: Cambridge University Press, 2015

Synopsis

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 a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

About this title

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.

Review

"... A gentle introduction to this fascinating new subject. The presentation is very explicit and many examples are worked out with great detail."
Emmanuel P. Royer, Mathematical Reviews

Edition details

• Publisher: Cambridge University Press
• Publication date: 2015
• Language: English
• ISBN 10: 1107565022
• ISBN 13: 9781107565029
• Binding: Paperback
• Edition number: 1
• Number of pages: 508