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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorCERRI, Jean-Paul
hal.structure.identifierEcole Polytechnique Fédérale de Lausanne [EPFL]
dc.contributor.authorCHAUBERT, Jérôme
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorLEZOWSKI, Pierre
dc.date.accessioned2024-04-04T03:20:21Z
dc.date.available2024-04-04T03:20:21Z
dc.date.created2014
dc.date.issued2014
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194581
dc.description.abstractEnWe study the Euclidean property for totally indefinite quaternion fields. In particular, we establish the complete list of norm-Euclidean such fields over imaginary quadratic number fields. This enables us to exhibit an example which gives a negative answer to a question asked by Eichler. The proofs are both theoretical and algorithmic.
dc.language.isoen
dc.publisherInstytut Matematyczny PAN
dc.title.enTotally indefinite Euclidean quaternion fields
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.description.sponsorshipEuropeAlgorithmic Number Theory in Computer Science
bordeaux.journalActa Arithmetica
bordeaux.page181-200
bordeaux.volume165
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01016614
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01016614v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Arithmetica&rft.date=2014&rft.volume=165&rft.issue=2&rft.spage=181-200&rft.epage=181-200&rft.au=CERRI,%20Jean-Paul&CHAUBERT,%20J%C3%A9r%C3%B4me&LEZOWSKI,%20Pierre&rft.genre=article


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