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A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients

A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients Abstract We characterize all cusp forms among the degree two Siegel modular forms by the growth of their Fourier coefficients. We also give a similar result for Jacobi forms over the group SL 2 ( ℤ ) ⋉ ℤ 2 $\mathrm {SL}_{2}(\mathbb {Z}) \ltimes \mathbb {Z}^2$ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients

Kohnen, Winfried; Martin, Yves
Forum Mathematicum , Volume 26 (5) – Sep 1, 2014
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Publisher
de Gruyter
Copyright
Copyright © 2014 by the
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/forum-2011-0142
Publisher site
See Article on Publisher Site

Abstract

Abstract We characterize all cusp forms among the degree two Siegel modular forms by the growth of their Fourier coefficients. We also give a similar result for Jacobi forms over the group SL 2 ( ℤ ) ⋉ ℤ 2 $\mathrm {SL}_{2}(\mathbb {Z}) \ltimes \mathbb {Z}^2$ .

Journal

Forum Mathematicum – de Gruyter

Published: Sep 1, 2014

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