Harmonic weak Maass forms and periods II
Number Theory
2022-09-26 v1
Abstract
In this paper we investigate the Fourier coefficients of harmonic Maass forms of negative half-integral weight. We relate the algebraicity of these coefficients to the algebraicity of the coefficients of certain canonical meromorphic modular forms of positive even weight with poles at Heegner divisors. Moreover, we give an explicit formula for the coefficients of harmonic Maass forms in terms of periods of certain meromorphic modular forms with algebraic coefficients.
Keywords
Cite
@article{arxiv.2209.11454,
title = {Harmonic weak Maass forms and periods II},
author = {Claudia Alfes-Neumann and Jan Hendrik Bruinier and Markus Schwagenscheidt},
journal= {arXiv preprint arXiv:2209.11454},
year = {2022}
}
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