On Minkowksi's bound for lattice-packings

2004/09/01 by Roland Bacher, Bacher, Roland
Mathematics · #Point processes and geometric inequalities #math.MG #math.NT #msc:10E05 #msc:10E20

paper · pdf · doi:10.48550/arxiv.math/0409008

Prepublication 650 de l'Institut Fourier

arxiv created 2004/09/01 · arxiv updated 2009/12/01

Abstract

We give a new proof of the Minkowski-Hlawka bound on the existence of dense lattices. The proof is based on an elementary method for constructing dense lattices which is almost effective.

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