On certain cubic fields. VI
type: Item
instance of: scholarly article
title: On certain cubic fields. VI
zbMATH Open document ID: 0567.12006
author: Mutsuo Watabe
published in: Proceedings of the Japan Academy. Series A
publication date: 1984-01-01T00:00:00Z
review text: [Pour la cinquième partie voir le rapport précédent.] L'A. montre que si un corps cubique K totalement réel est tel que \({\mathfrak O}_ K={\mathbb{Z}}+{\mathbb{Z}} \theta +{\mathbb{Z}} \theta^ 2\), où \(\theta\) et \(\theta +1\in E_ K\) (groupe des unités de K), alors \(E_ K=<\pm 1>\times <\theta,\theta +1>\).
Mathematics Subject Classification ID: 11R16
Mathematics Subject Classification ID: 11R27
zbMATH DE Number: 3904703
zbMATH Keywords: consecutive units
zbMATH Keywords: cubic fields
zbMATH Keywords: fundamental units
MaRDI profile type: Publication
full work available at URL: pjaa.60.331
OpenAlex ID: W4252206086
cites work: On the solutions of diophantine equations in units
cites work: Q3863959
cites work: On certain cubic fields. I, II
cites work: On certain cubic fields. III
cites work: On certain cubic fields. V
DOI: 10.3792/PJAA.60.331
description: scientific article; zbMATH DE number 3904703