Generators of modular function fields obtained from generalized lambda functions
Number Theory
2015-04-21 v2
Abstract
We define a modular function which is a generalization of the elliptic modular lambda function. We show this function and the modular invariant function generate the modular function field with respect to the principal congruence subgroup. Further we study its values at imaginary quadratic points.
Cite
@article{arxiv.1304.2084,
title = {Generators of modular function fields obtained from generalized lambda functions},
author = {Noburo Ishii},
journal= {arXiv preprint arXiv:1304.2084},
year = {2015}
}
Comments
revised version to add results for the excluded cases;typos