Division algorithms for norm-Euclidean imaginary quadratic fields
Number Theory
2026-04-22 v1
Abstract
The list of norm-Euclidean imaginary quadratic fields is known and finite. For each known case, we give a division algorithm that finds a remainder at distance less than the Euclidean minimum of the field.
Cite
@article{arxiv.2604.19213,
title = {Division algorithms for norm-Euclidean imaginary quadratic fields},
author = {François Morain},
journal= {arXiv preprint arXiv:2604.19213},
year = {2026}
}