Principal moduli and class fields
Number Theory
2021-03-30 v1
Abstract
We study the values taken by Gamma_0(n) modular functions at elliptic points of order 2 for the Fricke extension that lie outside Gamma_0(n). In the case of a principal modulus (`Hauptmodul') for Gamma_0(n) or its Fricke extension, we determine the class fields generated by these values.
Cite
@article{arxiv.math/0311202,
title = {Principal moduli and class fields},
author = {David Cox and John McKay and Peter Stevenhagen},
journal= {arXiv preprint arXiv:math/0311202},
year = {2021}
}
Comments
15 pages AMS-LaTeX