Mock modular forms as $p$-adic modular forms

Abstract

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 $M^{+}$.

17 Pages

References in corpus (1)

• Mock Theta Functions