Olivetto, Rene (2014). On the Fourier coefficients of meromorphic Jacobi forms. Int. J. Number Theory, 10 (6). S. 1519 - 1541. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-7310
Full text not available from this repository.Abstract
In this paper, we describe the automorphic properties of the Fourier coefficients of meromorphic Jacobi forms. Extending results of Dabholkar, Murthy, and Zagier, and Bringmann and Folsom, we prove that the canonical Fourier coefficients of a meromorphic Jacobi form phi (z; tau) are the holomorphic parts of some (vector- valued) almost harmonic Maass forms. We also give a precise description of their completions, which turn out to be uniquely determined by the Laurent coefficients of phi at each pole, as well as some well-known real analytic functions, that appear for instance in the completion of Appell-Lerch sums.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-430614 | ||||||||
| DOI: | 10.1142/S1793042114500419 | ||||||||
| Journal or Publication Title: | Int. J. Number Theory | ||||||||
| Volume: | 10 | ||||||||
| Number: | 6 | ||||||||
| Page Range: | S. 1519 - 1541 | ||||||||
| Date: | 2014 | ||||||||
| Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD | ||||||||
| Place of Publication: | SINGAPORE | ||||||||
| ISSN: | 1793-7310 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/43061 |
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