On Congruences and Linear relations for Drinfeld modular forms of level ${\Gamma }_0(T)$, arbitrary type

Abstract

In \cite{Cho09}, Choi studied congruences of coefficients (modulo $T^q-T$) for Drinfeld modular forms of level ${\Gamma }_0(T)$, trivial type and the linear relations between the initial coefficients of those. In this article, we generalize these results for level ${\Gamma }_0(T)$, arbitrary type.