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Some Generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorCERRI, Jean-Paul
dc.date.accessioned2024-04-04T03:17:53Z
dc.date.available2024-04-04T03:17:53Z
dc.date.created2010
dc.date.issued2011
dc.identifier.issn0025-5718
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194348
dc.description.abstractEnWe give examples of Generalized Euclidean but not norm-Euclidean number fields of degree greater than 2. In the same way we give examples of 2-stage Euclidean but not norm-Euclidean number fields of degree greater than 2. In both cases, no such examples were known.
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.title.enSome Generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
bordeaux.journalMathematics of Computation
bordeaux.page2289-2298
bordeaux.volume80
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue276
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00505142
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00505142v1
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