Mock modular forms as $p$-adic modular forms

@article{Bringmann2010MockMF,
  title={Mock modular forms as \$p\$-adic modular forms},
  author={Kathrin Bringmann and P. Guerzhoy and Ben Kane},
  journal={Transactions of the American Mathematical Society},
  year={2010},
  volume={364},
  pages={2393-2410}
}
In this paper, we consider the question of correcting mock modular forms in order to obtain p-adic modular forms. In certain cases we show that a mock modular form M is a p-adic modular form. Furthermore, we prove that otherwise the unique correction of M is intimately related to the shadow of M. 
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