On the Fourier coefficients of positive index meromorphic Jacobi forms
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- by Sander Zwegers PDF
- Proc. Amer. Math. Soc. 143 (2015), 4211-4221 Request permission
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.References
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Additional Information
- Sander Zwegers
- Affiliation: Mathematical Institute, University of Cologne, Weyertal 86–90, 50931 Cologne, Germany
- Email: szwegers@uni-koeln.de
- Received by editor(s): March 28, 2014
- Received by editor(s) in revised form: June 11, 2014
- Published electronically: March 18, 2015
- Communicated by: Kathrin Bringmann
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4211-4221
- MSC (2010): Primary 11F30, 11F50
- DOI: https://doi.org/10.1090/S0002-9939-2015-12581-6
- MathSciNet review: 3373921