Singular values of generalized $λ$ functions

Details Singular values of generalized $λ$ functions Singular values of generalized $λ$ functions

2011-10-20

arxiv.org/abs/1110.4429v1

Mathematics

Number Theory

Scientific paper

We study special values of a modular function $\Lambda$ which is one of
generalized $\lambda$ functions. We show special values of $\Lambda$ at
imaginary quadratic points are algebraic integers. Further we prove that
$\Lambda$ and the modular invariant function generate the modular function
field with respect to the modular subgroup $\Gamma_1(N)$.

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