Euclidean Ideals in Quadratic Imaginary Fields
Number Theory
2009-09-15 v1
Abstract
We classify all quadratic imaginary number fields that have a Euclidean ideal class. There are seven of them, they are of class number at most two, and in each case the unique class that generates the class-group is moreover norm-Euclidean.
Cite
@article{arxiv.0909.2593,
title = {Euclidean Ideals in Quadratic Imaginary Fields},
author = {Hester Graves and Nick Ramsey},
journal= {arXiv preprint arXiv:0909.2593},
year = {2009}
}
Comments
12 pages, 17 figures