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arXiv · 1912.07920

$\Lambda$-adic Families of Jacobi Forms

Matteo Longo·Marc-Hubert Nicole
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Abstract

We show that Hida's families of $p$-adic elliptic modular forms generalize to $p$-adic families of Jacobi forms. We also construct $p$-adic versions of theta lifts from elliptic modular forms to Jacobi forms. Our results extend to Jacobi forms previous works by Hida and Stevens on the related case of half-integral weight modular forms.

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Matteo Longo, Marc-Hubert Nicole. 2019-12-17. $\Lambda$-adic Families of Jacobi Forms. https://arxiv.org/abs/1912.07920

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