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math.NT2022
Harmonic weak Maass forms and periods II
Claudia Alfes-Neumann, Jan Hendrik Bruinier, Markus Schwagenscheidt
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…
math.NT2022
A classification of polyharmonic Maaß forms via quiver representations
Claudia Alfes-Neumann, Igor Burban, Martin Raum
We give a classification of the Harish-Chandra modules generated by the pullback to~$\SL{2}(\RR)$ of \emph{poly}harmonic Maaß forms for congruence subgroups of~$\SL{2}(\ZZ)$ with e…