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arXiv · 1908.05980

Congruences in Hermitian Jacobi and Hermitian modular forms

Jaban Meher·Sujeet Kumar Singh
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Abstract

In this paper we first prove an isomorphism between certain spaces of Jacobi forms. Using this isomorphism, we study the mod $p$ theory of Hermitian Jacobi forms over $\mathbb{Q}(i)$. We then apply the mod $p$ theory of Hermitian Jacobi forms to characterize $U(p)$ congruences and to study Ramanujan-type congruences for Hermitian Jacobi forms and Hermitian modular forms of degree $2$ over $\mathbb{Q}(i)$.

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Jaban Meher, Sujeet Kumar Singh. 2019-08-16. Congruences in Hermitian Jacobi and Hermitian modular forms. https://arxiv.org/abs/1908.05980

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