Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 46, No. 1, pp. 151167 (2005) 

The maximum of the smallest maximal coordinate of the minimum vectors in 6lattices equals 1A. VéghAbstract: This paper is related to the question of \'A. G. Horv\'ath \cite{agh1}: How to find a basis of any $n$lattice in $ \mathbb{E}^n$ such that the maximal coordinate belonging to the minima of this lattice are ``small as possible. We prove that in the 6dimensional case, in every lattice there exists a basis for which all the coordinates of the minima are $1,0,1$. Full text of the article:
Electronic version published on: 11 Mar 2005. This page was last modified: 4 May 2006.
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