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arXiv · 1804.10773

Maass wave forms, quantum modular forms and Hecke operators

Seewoo Lee
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Abstract

We prove that Cohen's Maass wave form and Li-Ngo-Rhoades' Maass wave form are Hecke eigenforms with respect to certain Hecke operators. As a corollary, we find new identities of the $p$th coefficients of these Maass wave forms in terms of $p$th root of unities.

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Seewoo Lee. 2018-04-28. Maass wave forms, quantum modular forms and Hecke operators. https://doi.org/10.1007/s40687-018-0170-0

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