Differential equations involving cubic theta functions and Eisenstein series
Classical Analysis and ODEs
2019-03-12 v4
Abstract
In this paper, we derive systems of ordinary differential equations (ODEs) satisfied by modular forms of level three, which are level three versions of Ramanujan's system of ODEs satisfied by the classical Eisenstein series.
Cite
@article{arxiv.1609.07481,
title = {Differential equations involving cubic theta functions and Eisenstein series},
author = {Kazuhide Matsuda},
journal= {arXiv preprint arXiv:1609.07481},
year = {2019}
}