We find an expansion for the Drinfeld discriminant function indexed by the set of monic polynomials of Fq[T ].

We study the action of Hecke operators on certain non-standard Fourier expansions for the Drinfeld-Eisenstein series Eq−1 and the Drinfeld discriminant function Δ, and we find an equation which "explains" an old result of D. Goss: these two distinct modular forms have the same eigenvalues.Mathematics Subject Classification (2010). Primary 11F52; Secondary 11G09.

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