Mock Modular Forms with Integral Fourier Coefficients
Number Theory
2022-02-22 v2
Abstract
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.
Cite
@article{arxiv.2101.05583,
title = {Mock Modular Forms with Integral Fourier Coefficients},
author = {Yingkun Li and Markus Schwagenscheidt},
journal= {arXiv preprint arXiv:2101.05583},
year = {2022}
}
Comments
Final version, to appear in Advances in Math