The Ramanujan-Serre differential operators and certain elliptic curves
Number Theory
2012-01-10 v1
Abstract
For several congruence subgroups of low levels and their conjugates, we derive differential equations satisfied by the Eisenstein series of weight 4 and relate them to elliptic curves, whose associated new forms of weight 2 constitute the list of Martin and Ono of new forms given by eta-products/quotients.
Cite
@article{arxiv.1201.1685,
title = {The Ramanujan-Serre differential operators and certain elliptic curves},
author = {Masanobu Kaneko and Yuichi Sakai},
journal= {arXiv preprint arXiv:1201.1685},
year = {2012}
}
Comments
8 pages