Open Access
September 2007 On theta correspondences for Eisenstein series
Shinji Niwa
Proc. Japan Acad. Ser. A Math. Sci. 83(9-10): 161-166 (September 2007). DOI: 10.3792/pjaa.83.161

Abstract

There are three types of parabolic subgroups in $Sp(2,\mathbf{R})$. In this paper we show that the Eisenstein series with respect to the Siegel parabolic subgroup corresponds to the Eisenstein series with respect to the Jacobi parabolic subgroup by theta correspondences.

Citation

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Shinji Niwa. "On theta correspondences for Eisenstein series." Proc. Japan Acad. Ser. A Math. Sci. 83 (9-10) 161 - 166, September 2007. https://doi.org/10.3792/pjaa.83.161

Information

Published: September 2007
First available in Project Euclid: 22 January 2008

zbMATH: 1206.11056
MathSciNet: MR2376597
Digital Object Identifier: 10.3792/pjaa.83.161

Subjects:
Primary: 11F27 , 11F37 , 11F46

Keywords: Eisenstein series , Siegel modular , theta correspondence

Rights: Copyright © 2007 The Japan Academy

Vol.83 • No. 9-10 • September 2007
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