Division algorithms for norm-Euclidean imaginary quadratic fields

Fuente: arXiv
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Autore principale: Morain, François
Natura: Preprint
Pubblicazione: 2026
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author Morain, François
author_facet Morain, François
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_19213
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Division algorithms for norm-Euclidean imaginary quadratic fields
Morain, François
Number Theory
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.
title Division algorithms for norm-Euclidean imaginary quadratic fields
topic Number Theory
url https://arxiv.org/abs/2604.19213