A note on Fourier-Jacobi coefficients of Siegel modular forms

Gun, S and Kumar, Narasimha (2013) A note on Fourier-Jacobi coefficients of Siegel modular forms. Archiv der Mathematik, 101 (6). pp. 519-524. ISSN 0003-889X

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Abstract

Let F be a Siegel cusp form of weight k and genus n > 1 with Fourier-Jacobi coefficients fm. In this article, we estimate the growth of the Petersson norms of fm, where m runs over an arithmetic progression. This result sharpens a recent result of Kohnen [5].

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IITH Creators:	IITH Creators ORCiD Kumar, Narasimha UNSPECIFIED
Item Type:	Article
Uncontrolled Keywords:	Fourier-Jacobi coefficients; Petersson norms; Siegel cusp forms
Subjects:	?? sub3.8 ??
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	14 Nov 2014 09:50
Last Modified:	24 Sep 2015 09:43
URI:	http://raiithold.iith.ac.in/id/eprint/785
Publisher URL:	http://dx.doi.org/10.1007/s00013-013-0586-0
OA policy:	http://www.sherpa.ac.uk/romeo/issn/0003-889X/
Related URLs:	Google Scholar

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