%0 Journal Article
%T On symmetric powers of $¦Ó$-recurrent sequences and deformations of Eisenstein series
%A Ahmad El-Guindy
%A Aleksandar Petrov
%J Mathematics
%D 2013
%I arXiv
%X We prove the equality of several $\tau$-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 $l^\text{th}$ power ($1 \leq l \leq q$) of the deformation of the weight 2 Eisenstein series; relations between Drinfeld modular forms with $A$-expansions; a new proof of relations between special values of Pellarin $L$-series.
%U http://arxiv.org/abs/1305.2573v2