%0 Journal Article
%T A Serre derivative for even weight Jacobi Forms
%A Georg Oberdieck
%J Mathematics
%D 2012
%I arXiv
%X Using deformed or twisted Eisenstein Series, we construct a Jacobi-Serre derivative on even-weight Jacobi forms that generalizes the classical Serre derivative on modular forms. As an application, we obtain Ramanujan equations for the index $1$ Eisenstein series $E_{4,1}, E_{6,1}$ and a newly defined $E_{2,1}$. Finally, we relate the deformed Eisenstein Series directly to the classical first Jacobi theta function.
%U http://arxiv.org/abs/1209.5628v3