Das, Soumya and Meher, Jaban (2015) On quasimodular eigenforms. In: INTERNATIONAL JOURNAL OF NUMBER THEORY, 11 (3). pp. 835-842.
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Official URL: http://dx.doi.org/10.1142/S1793042115500451
Abstract
We derive a multiplicity one result for quasimodular eigenforms on SL2(Z) by completing the description of all quasimodular eigenforms. As applications of our results, we complete the answer to the question of finding all quasimodular eigenforms arising as a product of two eigenforms and also give an estimate for the size of the maximum gap in the sequence of the Fourier coefficients of a quasimodular form.
| Item Type: | Journal Article |
|---|---|
| Publication: | INTERNATIONAL JOURNAL OF NUMBER THEORY |
| Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Additional Information: | Copy right for this article belongs to the WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE |
| Keywords: | Multiplicity one result; quasimodular forms; eigenforms |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 06 May 2015 04:44 |
| Last Modified: | 06 May 2015 04:44 |
| URI: | http://eprints.iisc.ac.in/id/eprint/51474 |
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