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Bases of minimal vectors in lattices, III

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMARTINET, Jacques
hal.structure.identifierUniversity of Rostock
dc.contributor.authorSCHUERMANN, Achill
dc.date.accessioned2024-04-04T02:19:14Z
dc.date.available2024-04-04T02:19:14Z
dc.date.issued2012
dc.identifier.issn1793-0421
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189383
dc.description.abstractEnWe prove that all Euclidean lattices of dimension n≤9 which are generated by their minimal vectors, also possess a basis of minimal vectors. By providing a new counterexample, we show that this is not the case for all dimensions n≥10.
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.title.enBases of minimal vectors in lattices, III
dc.typeArticle de revue
dc.identifier.doi10.1142/S1793042112500303
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1105.5889
bordeaux.journalInternational Journal of Number Theory
bordeaux.page551-567
bordeaux.volume8
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-00956709
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00956709v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20of%20Number%20Theory&rft.date=2012&rft.volume=8&rft.issue=2&rft.spage=551-567&rft.epage=551-567&rft.eissn=1793-0421&rft.issn=1793-0421&rft.au=MARTINET,%20Jacques&SCHUERMANN,%20Achill&rft.genre=article


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