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

Lea Beneish; Claire Frechette

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arXiv · 1509.00383

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

Lea Beneish·Claire Frechette

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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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Lea Beneish, Claire Frechette. 2016-12-07. $p$-adic properties of certain half-integral weight modular forms. https://arxiv.org/abs/1509.00383

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