Automorphic forms and L-functions for the group GL(n, R) / Dorian Goldfeld ; with an appendix by Kevin A. Broughan.
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This 2006 book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowle...
Uniform Title: | Cambridge studies in advanced mathematics ;
99. |
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Main Author: | |
Language: | English |
Published: |
Cambridge :
Cambridge University Press,
2006.
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Series: | Cambridge studies in advanced mathematics ;
99. |
Subjects: | |
Online Access: | |
Physical Description: | 1 online resource (xiii, 493 pages) : digital, PDF file(s). |
Variant Title: |
Automorphic Forms & L-Functions for the Group GL(n,R) |
Format: | Electronic eBook |
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.