On Kleinian mock modular forms

Claudia Alfes-Neumann; Michael Mertens

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arXiv · 2306.14466

On Kleinian mock modular forms

Claudia Alfes-Neumann·Michael Mertens

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Abstract

We give an explicit and computationally efficient construction of harmonic weak Maass forms which map to weight $2$ newforms under the $\xi$-operator. Our work uses a new non-analytic completion of the Kleinian $\zeta$-function from the theory of Abelian functions.

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Claudia Alfes-Neumann, Michael Mertens. 2023-06-26. On Kleinian mock modular forms. https://arxiv.org/abs/2306.14466

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