tau-recurrent sequences and modular forms
Number Theory
2011-06-27 v3
Abstract
In this paper we deal with Drinfeld modular forms, defined and taking values in complete fields of positive characteristic. Our aim is to study a sequence of families of Drinfeld modular forms depending on a parameter t that produces, for certain values of t, several kinds of Eisenstein series considered by Gekeler. We obtain formulas involving these functions. To obtain our results, we introduce and discuss tau-linear recurrent sequences and deformations of vectorial modular forms in this setting.
Cite
@article{arxiv.1105.5819,
title = {tau-recurrent sequences and modular forms},
author = {Federico Pellarin},
journal= {arXiv preprint arXiv:1105.5819},
year = {2011}
}
Comments
improved the proof of Theorem 3 (now, it is shorter)