Mathematics – Number Theory
Scientific paper
2010-03-23
Mathematics
Number Theory
17 Pages
Scientific paper
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
$M^+$.
Bringmann Kathrin
Guerzhoy Pavel
Kane Ben
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