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Automorphic Forms and L-Functions fo...
~
Goldfeld, Dorian.
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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.
內容註:
Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Discrete group actions; 2 Invariant differential operators; 3 Automorphic forms and L-functions 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-Jacquet lift; 8 Bounds for L-functions and Siegel zeros; 9 The Godement-Jacquet L-function; 10 Langlands Eisenstein series; 11 Poincare series and Kloosterman sums; 12 Rankin-Selberg convolutions; 13 Langlands conjectures; List of symbols
內容註:
Appendix The GL(n)pack ManualReferences; Index
標題:
L-functions. -
電子資源:
http://dx.doi.org/10.1017/CBO9780511542923#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-functions 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-Jacquet lift; 8 Bounds for L-functions and Siegel zeros; 9 The Godement-Jacquet L-function; 10 Langlands Eisenstein series; 11 Poincare series and Kloosterman sums; 12 Rankin-Selberg 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:
606070
L-functions.
Index Terms--Genre/Form:
542853
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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Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Discrete group actions; 2 Invariant differential operators; 3 Automorphic forms and L-functions 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-Jacquet lift; 8 Bounds for L-functions and Siegel zeros; 9 The Godement-Jacquet L-function; 10 Langlands Eisenstein series; 11 Poincare series and Kloosterman sums; 12 Rankin-Selberg convolutions; 13 Langlands conjectures; List of symbols
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Appendix The GL(n)pack ManualReferences; Index
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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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