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arXiv · 2305.01235

Hecke eigenforms for meromorphic cusp forms

Kathrin Bringmann·Ben Kane·Michael H. Mertens
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Abstract

In this paper, we construct Hecke eigenforms for two families of quotient spaces of meromorphic cusp forms on $\mathrm{SL}_2(\mathbb{Z})$. We show that each quotient space in the first (resp. second family) is isomorphic as a Hecke module to the space $S_{2k}$ (resp. $M_{2k}$) of cusp forms (resp. holomorphic modular forms) of the same weight on $\mathrm{SL}_2(\mathbb{Z})$.

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Kathrin Bringmann, Ben Kane, Michael H. Mertens. 2023-05-02. Hecke eigenforms for meromorphic cusp forms. https://arxiv.org/abs/2305.01235

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