$p$-adic properties of certain half-integral weight modular forms

Published 1 Sep 2015 in math.NT | (1509.00383v2)

Abstract: 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.

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