Experimental finding of modular forms for noncongruence subgroups

L. J. P. Kilford

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arXiv · 0910.0739

Experimental finding of modular forms for noncongruence subgroups

L. J. P. Kilford

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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.

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BibTeX RIS

L. J. P. Kilford. 2009-10-05. Experimental finding of modular forms for noncongruence subgroups. https://arxiv.org/abs/0910.0739

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