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

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.

Cited by in corpus (2)

• The structure of Drinfeld modular forms of level ${\Gamma }_0(T)$ and applications
• Notes on Atkin-Lehner theory for Drinfeld modular forms