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<p>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 <i>L</i>-series involving mock modular forms and bound certain shifted convolution sums.</p>

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Holomorphic projection for sesquiharmonic Maass forms

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月12日

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  • Michael Allen,
  • Olivia Beckwith,
  • Vaishavi Sharma

摘要

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.