Modular equations for congruence subgroups of genus zero

초록

It is well known that the modular equation for the full modular group satisfies several properties such as Kronecker's congruence relation. In this article, we prove that the modular equation for any congruence subgroup Gamma(1)(m)boolean AND Gamma(0)(mN) of genus zero satisfies similar properties including Kronecker's congruence relation.

키워드