Congruences for Coefficients of Drinfeld Modular Forms

Abstract

Abstract. We find congruences for the t-expansion coefficients of a Drinfeld modular form for Γ + 0 (Q), where Q is a monic irreducible polynomial. As an application we obtain new congruence relations for the t-expansion coefficients of Drinfeld modular forms for GL 2 (Fq[T ]).

Linear relations and congruences for the coefficients of Drinfeld modular forms

“…As a consequence, they showed p-divisibility properties for Fourier coefficients of a modular form on SL 2 (Z). The author [1] investigated analogies of these results for a certain subspace of M m k which have a strong condition. Here, M m k is the vector space of Drinfeld modular forms for GL 2 (F q [T ]) of weight k and type m. In this paper the author generalizes the result for the space M m k .…”

The structure of Drinfeld modular forms of level Γ0(T) and applications

“…In the second part of the article, we study Drinfeld modular forms for Γ + 0 (T ) := Γ 0 (T ), W T . In [Cho09a], Choi defined meromorphic Drinfeld modular forms for Γ + 0 (T ). Due to the choice of normalization, the author restricted herself to the case k = 2l.…”