Experimental finding of modular forms for noncongruence subgroups

Autor:	Kilford, L. J. P.
Rok vydání:	2009
Předmět:	Mathematics - Number Theory 11F11 11F33
Druh dokumentu:	Working Paper
Popis:	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. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0910.0739 Zobrazit plný text záznamu View this record from Arxiv