English

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

Number Theory 2019-10-16 v2

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 pp-adic properties under the action of Hecke operators.

Keywords

Cite

@article{arxiv.1509.00383,
  title  = {$p$-adic properties of certain half-integral weight modular forms},
  author = {Lea Beneish and Claire Frechette},
  journal= {arXiv preprint arXiv:1509.00383},
  year   = {2019}
}
R2 v1 2026-06-22T10:46:39.079Z