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Cuspidality and the growth of Fourier coefficients of modular forms

Boecherer, Siegfried and Das, Soumya (2018) Cuspidality and the growth of Fourier coefficients of modular forms. In: JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 741 . pp. 161-178.

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Official URL: https://dx.doi.org/10.1515/crelle-2015-0075

Abstract

We characterize Siegel cusp forms in the space of Siegel modular forms of large weight k > 2n on any Siegel congruence subgroup Gamma of any degree n and any level N, by a suitable growth of their Fourier coefficients (e.g., by the well-known Hecke bound) at any one of the cusps. For this, we use a `local' approach as compared to our previous results on this topic. We also touch upon the question in the context of vector-valued modular forms.

Item Type: Journal Article
Additional Information: Copyright of this article belong to WALTER DE GRUYTER GMBH, GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 16 Aug 2018 16:03
Last Modified: 16 Aug 2018 16:03
URI: http://eprints.iisc.ac.in/id/eprint/60440

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