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Nonvanishing of Koecher-Maass series attached to Siegel cusp forms

Das, Soumya and Kohnen, Winfried (2015) Nonvanishing of Koecher-Maass series attached to Siegel cusp forms. In: ADVANCES IN MATHEMATICS, 281 . pp. 624-669.

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Official URL: http://dx.doi.org/10.1016/j.aim.2015.05.007

Abstract

We prove a nonvanishing result for Koecher-Maass series attached to Siegel cusp forms of weight k and degree n in certain strips on the complex plane. When n = 2, we prove such a result for forms orthogonal to the space of the Saito-Kurokawa lifts `up to finitely many exceptions', in bounded regions. (C) 2015 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Keywords: Koecher-Maass series; Siegel modular forms
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 26 Aug 2015 05:19
Last Modified: 26 Aug 2015 05:19
URI: http://eprints.iisc.ac.in/id/eprint/52231

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