Boecherer, Siegfried and Das, Soumya (2016) Cuspidality and the growth of Fourier coefficients: small weights. In: MATHEMATISCHE ZEITSCHRIFT, 283 (1-2). pp. 539-553.
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Official URL: http://dx.doi.org/10.1007/s00209-015-1609-2
Abstract
We characterize Siegel cusp forms in the space of Siegel modular forms of small weight on the congruence subgroups 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 the formalism of Jacobi forms and the `Witt-operator' on modular forms.
| Item Type: | Journal Article |
|---|---|
| Publication: | MATHEMATISCHE ZEITSCHRIFT |
| Publisher: | SPRINGER HEIDELBERG |
| Additional Information: | Copy right for this article belongs to the SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY |
| Keywords: | Small weights; Siegel modular forms; Growth of Fourier coefficients; Hecke bound |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 15 Jun 2016 06:13 |
| Last Modified: | 15 Jun 2016 06:13 |
| URI: | http://eprints.iisc.ac.in/id/eprint/53949 |
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