| Description |
1 online resource (xiii, 493 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Cambridge studies in advanced mathematics ; 99
|
|
Cambridge studies in advanced mathematics ; 99.
|
| 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. |
| Bibliography |
Includes bibliographical references (pages 473-484) and index. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
L-functions.
|
|
L-functions. |
|
Automorphic forms.
|
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Automorphic forms. |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Goldfeld, D. Automorphic forms and L-functions for the group GL(n, R). Cambridge, UK ; New York : Cambridge University Press, 2006 0521837715 9780521837712 (DLC) 2006284321 (OCoLC)65203218 |
| ISBN |
9780511221019 (electronic book) |
|
0511221010 (electronic book) |
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0511219709 (electronic book ; Adobe Reader) |
|
9780511219702 (electronic book ; Adobe Reader) |
|
0511220715 (electronic book) |
|
9780511220715 (electronic book) |
|
9780511219023 (ebook ; ebrary) |
|
0511219024 (ebook ; ebrary) |
|
9780521837712 (hardback) |
|
0521837715 (hardback) |
|
