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Automorphic forms and L-functions for the group GL(n, R)

Author: D Goldfeld
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2006. ©2006
Series: Cambridge studies in advanced mathematics, 99.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Goldfeld, D.
Automorphic forms and L-functions for the group GL(n, R).
Cambridge, UK ; New York : Cambridge University Press, 2006
(DLC) 2006284321
(OCoLC)65203218
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: D Goldfeld
ISBN: 9780511221019 0511221010 0511219709 9780511219702 0511220715 9780511220715 9780511219023 0511219024
OCLC Number: 162546913
Description: 1 online resource (xiii, 493 pages) : illustrations.
Contents: Discrete group actions --
Invariant differential operators --
Automorphic forms and L-functions for SL (2, Z) --
Existence for Maass forms --
Maass forms and Whittaker functions for SL (n, Z) --
Automorphic forms and L-functions for SL (3, Z) --
The Gelbart-Jacket lift --
Bounds for L-functions and Siegel zeros --
The Godement-Jacket L-function --
Langlands Eisenstein series --
Poincaré series and Kloosterman sums --
Rankin-Selberg convolutions --
Langlands conjectures.
Series Title: Cambridge studies in advanced mathematics, 99.
Responsibility: Dorian Goldfeld ; with an appendix by Kevin A. Broughan.

Abstract:

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

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'... 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 Read more...

 
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