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The Eisenstein series for GL(3,Z) induced from cusp forms

The Eisenstein series for GL(3,Z) induced from cusp forms 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

The Eisenstein series for GL(3,Z) induced from cusp forms

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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

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