p-Adic properties of coefficients of certain half-integral weight modular forms

摘要

In this paper, we study the parallel cases of Zagier's and Folsom-Ono's grids of weakly holomorphic (resp. weakly holomorphic and mock modular) forms of weights 3/2 and 1/2, investigating their p-adic properties under the action of Hecke operators. (C) 2016 Elsevier Inc. All rights reserved.