Harmonic weak Maass forms and periods II

Alfes-Neumann C, Bruinier JH, Schwagenscheidt M (2022)
arXiv:2209.11454.

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Autor*in
Alfes-Neumann, ClaudiaUniBi ; Bruinier, Jan Hendrik; Schwagenscheidt, Markus
Abstract / Bemerkung
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.
Erscheinungsjahr
2022
Zeitschriftentitel
arXiv:2209.11454
Page URI
https://pub.uni-bielefeld.de/record/2966095

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Alfes-Neumann C, Bruinier JH, Schwagenscheidt M. Harmonic weak Maass forms and periods II. arXiv:2209.11454. 2022.
Alfes-Neumann, C., Bruinier, J. H., & Schwagenscheidt, M. (2022). Harmonic weak Maass forms and periods II. arXiv:2209.11454
Alfes-Neumann, Claudia, Bruinier, Jan Hendrik, and Schwagenscheidt, Markus. 2022. “Harmonic weak Maass forms and periods II”. arXiv:2209.11454.
Alfes-Neumann, C., Bruinier, J. H., and Schwagenscheidt, M. (2022). Harmonic weak Maass forms and periods II. arXiv:2209.11454.
Alfes-Neumann, C., Bruinier, J.H., & Schwagenscheidt, M., 2022. Harmonic weak Maass forms and periods II. arXiv:2209.11454.
C. Alfes-Neumann, J.H. Bruinier, and M. Schwagenscheidt, “Harmonic weak Maass forms and periods II”, arXiv:2209.11454, 2022.
Alfes-Neumann, C., Bruinier, J.H., Schwagenscheidt, M.: Harmonic weak Maass forms and periods II. arXiv:2209.11454. (2022).
Alfes-Neumann, Claudia, Bruinier, Jan Hendrik, and Schwagenscheidt, Markus. “Harmonic weak Maass forms and periods II”. arXiv:2209.11454 (2022).
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