Primitive and totally primitive Fricke families with applications
Number Theory
2016-11-14 v3
Abstract
We introduce the primitivity of Fricke families, and give some examples. As its application, we first construct generators of the function field of the modular curve of level in terms of Fricke functions and Siegel functions, respectively. Furthermore, we use the special values of a certain function in a totally primitive Fricke family of level in order to generate ray class fields of imaginary quadratic fields.
Keywords
Cite
@article{arxiv.1506.06317,
title = {Primitive and totally primitive Fricke families with applications},
author = {Ho Yun Jung and Ja Kyung Koo and Dong Hwa Shin},
journal= {arXiv preprint arXiv:1506.06317},
year = {2016}
}