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.

PDF Adv_in_Mat_281_624_2015.pdf - Published Version Restricted to Registered users only Download (740kB) | Request a copy

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
Publication:	ADVANCES IN MATHEMATICS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
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
Date Deposited:	26 Aug 2015 05:19
Last Modified:	26 Aug 2015 05:19
URI:	http://eprints.iisc.ac.in/id/eprint/52231

Actions (login required)

View Item