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On the Functional Equations Satisfied by Eisenstein Series
- Publisher
- Springer Journals
- Copyright
- Copyright © 2012 by Mathematisches Seminar der Universität Hamburg and Springer
- Subject
- Mathematics; Algebra; Differential Geometry; Combinatorics; Geometry; Number Theory; Topology
- ISSN
- 0025-5858
- eISSN
- 1865-8784
- DOI
- 10.1007/s12188-012-0064-9
- Publisher site
- See Article on Publisher Site
Abstract
We study the Eisenstein series for GL(3,Z) induced from cusp forms. We give the expression of the Fourier-Whittaker coefficients of the Eisenstein series in terms of the Jacquet integrals. Moreover, by evaluating the Jacquet integrals, we give the Mellin-Barnes type integral expressions of those at the minimal K-type.
Journal
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals
Published: Mar 9, 2012