Mock modular forms as $p$-adic modular forms

Kathrin Bringmann; Pavel Guerzhoy; Ben Kane

Mock modular forms as $p$-adic modular forms

Number Theory 2010-03-31 v2

Authors: Kathrin Bringmann , Pavel Guerzhoy , Ben Kane

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 $M^+$ .

Keywords

modular forms

Cite

@article{arxiv.1003.4465,
  title  = {Mock modular forms as $p$-adic modular forms},
  author = {Kathrin Bringmann and Pavel Guerzhoy and Ben Kane},
  journal= {arXiv preprint arXiv:1003.4465},
  year   = {2010}
}

Comments

17 Pages

Related papers

View all related →