Experimental finding of modular forms for noncongruence subgroups
Number Theory
2009-10-06 v1
Abstract
In this paper we will use experimental and computational methods to find modular forms for non-congruence subgroups, and the modular forms for congruence subgroups that they are associated with via the Atkin--Swinnerton-Dyer correspondence. We also prove a generalization of a criterion due to Ligozat for an eta-quotient to be a modular function.
Cite
@article{arxiv.0910.0739,
title = {Experimental finding of modular forms for noncongruence subgroups},
author = {L. J. P. Kilford},
journal= {arXiv preprint arXiv:0910.0739},
year = {2009}
}
Comments
12 pages