On mod $\mathfrak{p}$ congruences for Drinfeld modular forms of level $\mathfrak{p}\mathfrak{m}$

Tarun Dalal; Narasimha Kumar

doi:10.1016/j.jnt.2021.04.020

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arXiv · 2008.01959

On mod $\mathfrak{p}$ congruences for Drinfeld modular forms of level $\mathfrak{p}\mathfrak{m}$

Tarun Dalal·Narasimha Kumar

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Abstract

In~\cite{CS04}, Calegari and Stein studied the congruences between classical cusp forms $S_k(\Gamma_0(p))$ of prime level and made several conjectures about them. In~\cite{AB07} (resp., ~\cite{BP11}) the authors proved one of those conjectures (resp., their generalizations). In this article, we study the analogous conjecture and its generalizations for Drinfeld modular forms.

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Tarun Dalal, Narasimha Kumar. 2020-08-05. On mod $\mathfrak{p}$ congruences for Drinfeld modular forms of level $\mathfrak{p}\mathfrak{m}$. https://doi.org/10.1016/j.jnt.2021.04.020

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