Original paper
Modular equations for congruence subgroups of genus zero (II)
Abstract
We present a result that the modular equation of a Hauptmodul for a certain congruence subgroup ΓH(N,t) of genus zero satisfies Kronecker's congruence relation. This generalizes the author's previous result about Γ1(m)⋂Γ0(mN). Furthermore we show that the similar result holds for a certain congruence subgroup Γ of genus zero with [Γ:ΓH(N,t)]=2. Finally we prove a conjecture of Lee and Park, asserting that the modular equation of the continued...
Paper Details
Title
Modular equations for congruence subgroups of genus zero (II)
Published Date
Feb 1, 2022
Journal
Volume
231
Pages
48 - 79
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History