# Mock Modular Forms with Integral Fourier Coefficients

@inproceedings{Li2021MockMF, title={Mock Modular Forms with Integral Fourier Coefficients}, author={Yingkun Li and Markus Schwagenscheidt}, year={2021} }

In this note, we explicitly construct mock modular forms with integral Fourier coefficients by evaluating regularized Petersson inner products involving their shadows, which are unary theta functions of weights 1 2 and 3 2 . In addition, we also improve the known bounds for the denominators of the coefficients of mock modular forms whose shadows are holomorphic weight one cusp forms constructed by Hecke.

#### One Citation

Higher Siegel theta lifts on Lorentzian lattices, harmonic Maass forms, and Eichler-Selberg type relations

- Mathematics
- 2021

We investigate so-called “higher” Siegel theta lifts on Lorentzian lattices in the spirit of Bruinier–Ehlen–Yang and Bruinier–Schwagenscheidt. We give a series representation of the lift in terms of… Expand

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