Automorphic Forms on GL (3,TR)

Automorphic forms on GL(2).- The differential equations satisfied by Whittaker functions.- Jacquet's Whittaker functions.- Fourier expansions of automorphic forms.- Invariants of G?\G.- Ramanujan sums on GL(3).- Eisenstein series.- The analytic continuation and functional equations satisfied by the L-series associated with an automorphic form.- Hecke operators and L-series.- The Mellin transforms of the Whittaker functions.

List of contents

Automorphic forms on GL(2).- The differential equations satisfied by Whittaker functions.- Jacquet's Whittaker functions.- Fourier expansions of automorphic forms.- Invariants of G?G.- Ramanujan sums on GL(3).- Eisenstein series.- The analytic continuation and functional equations satisfied by the L-series associated with an automorphic form.- Hecke operators and L-series.- The Mellin transforms of the Whittaker functions.

Product details

• Authors: D Bump, D. Bump
• Publisher: Springer, Berlin
• Languages: English, German
• Product format: Paperback / Softback
• Released: 01.01.1984
• EAN: 9783540138648
• ISBN: 978-3-540-13864-8
• No. of pages: 184
• Weight: 295 g
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra