Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Zwegers, Sander UNSPECIFIED orcid.org/0000-0002-3800-5777 UNSPECIFIED
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:	Keywords Language Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/39093