We prove the equality of several τ-recurrent sequences, which were first considered by Pellarin and which have close connections to Drinfeld vectorial modular forms. Our result has several consequences: an A-expansion for the lth power (1 ≤ l ≤ q) of the deformation of the weight 2 Eisenstein series; relations between Drinfeld modular forms with A-expansions; and a new proof of relations between special values of Pellarin L-series.
- Deformations of Eisenstein series
- Vectorial Drinfeld modular forms
- τ-recurrent sequences
ASJC Scopus subject areas
- Applied Mathematics