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Automorphic Forms and L-Functions fo...

Ebooks Corporation.

Automorphic Forms and L-Functions for the Group GL(n,R).

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Automorphic Forms and L-Functions for the Group GL(n,R).
作者:	Goldfeld, Dorian.
出版者:	Leiden :Cambridge University Press,2006.
面頁冊數:	509 p.
標題:	L-functions.
電子資源:	Click here to view book
ISBN:	9780511542923 (electronic bk.)

Automorphic Forms and L-Functions for the Group GL(n,R).
Goldfeld, Dorian.

Automorphic Forms and L-Functions for the Group GL(n,R).[electronic resource]. - Leiden :Cambridge University Press,2006. - 509 p.

Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Discrete group actions; 2 Invariant differential operators; 3 Automorphic forms and L��unctions for SL(2, Z); 4 Existence of Maass forms; 5 Maass forms and Whittaker functions for SL(n, Z); 6 Automorphic forms and L-functions for SL(3, Z); 7 The Gelbart��acquet lift; 8 Bounds for L-functions and Siegel zeros; 9 The Godement��acquet L-function; 10 Langlands Eisenstein series; 11 Poincare series and Kloosterman sums; 12 Rankin��elberg convolutions; 13 Langlands conjectures; List of symbols

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.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511542923 (electronic bk.)Subjects--Topical Terms:

240097
L-functions.
Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA246 . / G65 2006

Dewey Class. No.: 512.74

Automorphic Forms and L-Functions for the Group GL(n,R).
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505 0 $a Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Discrete group actions; 2 Invariant differential operators; 3 Automorphic forms and L��unctions for SL(2, Z); 4 Existence of Maass forms; 5 Maass forms and Whittaker functions for SL(n, Z); 6 Automorphic forms and L-functions for SL(3, Z); 7 The Gelbart��acquet lift; 8 Bounds for L-functions and Siegel zeros; 9 The Godement��acquet L-function; 10 Langlands Eisenstein series; 11 Poincare series and Kloosterman sums; 12 Rankin��elberg convolutions; 13 Langlands conjectures; List of symbols
505 8 $a Appendix The GL(n)pack ManualReferences; Index
520 $a 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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