Ebook: Automorphic Forms on GL (3,ℝ)
Author: Daniel Bump (auth.)
- Tags: Topological Groups Lie Groups, Analysis
- Series: Lecture Notes in Mathematics 1083
- Year: 1984
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
Content:
Front Matter....Pages -
Automorphic forms on GL(2)....Pages 1-16
The differential equations satisfied by Whittaker functions....Pages 17-39
Jacquet's Whittaker functions....Pages 40-62
Fourier expansions of automorphic forms....Pages 63-72
Invariants of G?G....Pages 73-80
Ramanujan sums on GL(3)....Pages 81-98
Eisenstein series....Pages 99-132
The analytic continuation and functional equations satisfied by the L-series associated with an automorphic form....Pages 133-147
Hecke operators and L-series....Pages 148-160
The Mellin transforms of the Whittaker functions....Pages 161-180
Back Matter....Pages -
Content:
Front Matter....Pages -
Automorphic forms on GL(2)....Pages 1-16
The differential equations satisfied by Whittaker functions....Pages 17-39
Jacquet's Whittaker functions....Pages 40-62
Fourier expansions of automorphic forms....Pages 63-72
Invariants of G?G....Pages 73-80
Ramanujan sums on GL(3)....Pages 81-98
Eisenstein series....Pages 99-132
The analytic continuation and functional equations satisfied by the L-series associated with an automorphic form....Pages 133-147
Hecke operators and L-series....Pages 148-160
The Mellin transforms of the Whittaker functions....Pages 161-180
Back Matter....Pages -
....
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