Generation of ring class fields by eta-quotients
Number Theory
2017-01-25 v5
Abstract
We generate ring class fields of imaginary quadratic fields in terms of the special values of certain eta-quotients, which are related to the relative norms of Siegel-Ramachandra invariants. These give us minimal polynomials with relatively small coefficients from which we are able to solve certain quadratic Diophantine equations concerning non-convenient numbers.
Cite
@article{arxiv.1404.3282,
title = {Generation of ring class fields by eta-quotients},
author = {Ja Kyung Koo and Dong Hwa Shin and Dong Sung Yoon},
journal= {arXiv preprint arXiv:1404.3282},
year = {2017}
}