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arXiv · 2411.05972

Holomorphic projection for sesquiharmonic Maass forms

Michael Allen·Olivia Beckwith·Vaishavi Sharma
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Abstract

We study the holomorphic projection of mixed mock modular forms involving sesquiharmonic Maass forms. As a special case, we numerically express the holomorphic projection of a function involving real quadratic class numbers multiplied by a certain theta function in terms of eta quotients. We also analyze certain shifted convolution $L$-series involving mock modular forms and bound certain shifted convolution sums.

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Michael Allen, Olivia Beckwith, Vaishavi Sharma. 2024-11-08. Holomorphic projection for sesquiharmonic Maass forms. https://arxiv.org/abs/2411.05972

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