“Weak” congruences for coefficients of the Eisenstein series for Fq[T] of weight qk−1

Linear relations and congruences for the coefficients of Drinfeld modular forms

“…By using the action of the Hecke operators Gekeler [6] and López [9] proved the existence of congruences for the coefficients of two distinguished Drinfeld modular forms, the Poincaré series P q+1,1 and the discriminant function ∆, respectively. Gallardo and López [4] showed that there exist congruences for the s-expansion coefficients of the Eisenstein series of weight q k − 1, for any positive integer k.…”

Congruences for Coefficients of Drinfeld Modular Forms

“…Gallardo and López [2] showed that there exist congruences for the s-expansion coefficients of the Eisenstein series of weight q k − 1 for any positive integer k. By using the residue theorem, we [1] found divisibility properties for t-expansion coefficients of Drinfeld modular forms for GL 2 (F q [T ]) and as a consequence we obtained further congruence relations.…”

Para-Eisenstein Series for the Modular Group $GL(2, \mathbb{F}_q[T])$

“…These, together with bounds on the degrees of the coefficients, suffice to determine some of the coefficients e.g. of the g k [2]. A similar study of coefficients of the m k would be desirable.…”