Zwegers, Sander 
ORCID: 0000-0002-3800-5777
(2015).
ON THE FOURIER COEFFICIENTS OF POSITIVE INDEX MEROMORPHIC JACOBI FORMS.
Proc. Amer. Math. Soc., 143 (10).
S. 4211 - 4222.
PROVIDENCE:
AMER MATHEMATICAL SOC.
ISSN 1088-6826
Abstract
Fourier coefficients of meromorphic Jacobi forms show up in the study of mock theta functions and Kac-Wakimoto characters. It has previously been shown that they are the holomorphic parts of certain vector-valued almost harmonic Maass forms. In this paper, we give an alternative characterization of these objects by applying the Maass lowering operator to the completions of the Fourier coefficients. We then obtain a formula in terms of classical theta functions and functions that behave like almost holomorphic modular forms.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-390932 | ||||||||
| DOI: | 10.1090/S0002-9939-2015-12581-6 | ||||||||
| Journal or Publication Title: | Proc. Amer. Math. Soc. | ||||||||
| Volume: | 143 | ||||||||
| Number: | 10 | ||||||||
| Page Range: | S. 4211 - 4222 | ||||||||
| Date: | 2015 | ||||||||
| Publisher: | AMER MATHEMATICAL SOC | ||||||||
| Place of Publication: | PROVIDENCE | ||||||||
| ISSN: | 1088-6826 | ||||||||
| Language: | English | ||||||||
| Faculty: | Faculty of Mathematics and Natural Sciences | ||||||||
| Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| Refereed: | Yes | ||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/39093 |
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