hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	MARTINET, Jacques
dc.date.accessioned	2024-04-04T02:19:15Z
dc.date.available	2024-04-04T02:19:15Z
dc.date.created	2014-03-06
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/189386
dc.description.abstractEn	We compare for an $n$-dimensional Euclidean lattice $\Lb$ the smallest possible values of the product of the norms of $n$~vectors which either constitute a basis for $\Lb$ (Hermite-type inequalities) or are merely assumed to be independent (Minkowski-type inequalities). We improve on 1953 results of van der Waerden in dimensions $6$ to $8$ and prove partial result in dimension~$9$.
dc.language.iso	en
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv	1403.1457
bordeaux.hal.laboratories	Institut de Mathématiques de Bordeaux (IMB) - UMR 5251	*
bordeaux.institution	Université de Bordeaux
bordeaux.institution	Bordeaux INP
bordeaux.institution	CNRS
hal.identifier	hal-00956652
hal.version	1
hal.audience	Non spécifiée
hal.origin.link	https://hal.archives-ouvertes.fr//hal-00956652v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=MARTINET,%20Jacques&rft.genre=preprint

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