Abstract
Let $N$ be a positive integer greater than 1. We define a modular function of level $N$ which is a generalization of the elliptic modular lambda function. We show this function and the modular invariant function $j$ generate the modular function field with respect to the principal congruence subgroup of level $N$. Further we study its values at imaginary quadratic points.
Citation
Noburo ISHII. "Generalized Lambda Functions and Modular Function Fields of Principal Congruence Subgroups." Tokyo J. Math. 37 (1) 237 - 246, June 2014. https://doi.org/10.3836/tjm/1406552442
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