Euclidean fields having a large Lenstra constant
type: Item
instance of: scholarly article
title: Euclidean fields having a large Lenstra constant
zbMATH Open document ID: 0546.12005
author: Armin Leutbecher
publication date: 1985-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74679
review text: Based on a method of H. W. Lenstra jun. in this note 143 new Euclidean number fields are given of degree \(n=7,8,9\) and 10 and of unit rank \(\leq 5\). The search for these examples also revealed several other fields of small discriminant compared with the lower bounds of Odlyzko.
Mathematics Subject Classification ID: 11R21
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 11R27
zbMATH DE Number: 3869465
zbMATH Keywords: Lenstra constant
zbMATH Keywords: Euclidean number fields
zbMATH Keywords: degree \(n=7,8,9\) and 10
zbMATH Keywords: unit rank
zbMATH Keywords: small discriminant
zbMATH Keywords: lower bounds of Odlyzko
MaRDI profile type: Publication
OpenAlex ID: W1988550083
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DOI: 10.5802/AIF.1011
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 3869465