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arXiv · 1110.4429

Singular values of generalized $λ$ functions

Noburo Ishii
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Abstract

We study special values of a modular function $Λ$ which is one of generalized $λ$ functions. We show special values of $Λ$ at imaginary quadratic points are algebraic integers. Further we prove that $Λ$ and the modular invariant function generate the modular function field with respect to the modular subgroup $Γ_1(N)$.

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Noburo Ishii. 2011-10-20. Singular values of generalized $λ$ functions. https://arxiv.org/abs/1110.4429

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