Harmonic weak Maass forms and periods II
Alfes-Neumann C, Bruinier JH, Schwagenscheidt M (2022)
arXiv:2209.11454.
Preprint | Englisch
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Autor*in
Alfes-Neumann, ClaudiaUniBi ;
Bruinier, Jan Hendrik;
Schwagenscheidt, Markus
Einrichtung
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
Zitieren
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).