Corpus ID: 231603003

Mock Modular Forms with Integral Fourier Coefficients

  title={Mock Modular Forms with Integral Fourier Coefficients},
  author={Yingkun Li and Markus Schwagenscheidt},
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. 
1 Citations
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