Simplest Cubic Number Fields
Number Theory
2012-02-28 v1
Abstract
In this paper we intend to show that certain integers do not occur as the norms of principal ideals in a family of cubic fields studied by Cohn, Shanks, and Ennola. These results will simplify the construction of certain unramified quadratic extensions of such fields.
Keywords
Cite
@article{arxiv.1202.6022,
title = {Simplest Cubic Number Fields},
author = {Franz Lemmermeyer and Attila Pethö},
journal= {arXiv preprint arXiv:1202.6022},
year = {2012}
}