A new inequality for the Hermite constants
نویسنده
چکیده
We prove an inequality of the form γn ≥ Cn(γn−1) between Hermite’s constants γn and γn−1. This inequality yields also a new proof of the Minkowski-Hlawka bound ∆n ≥ ζ(n)21−n for the maximal density ∆n of n−dimensional lattice-packings. 1
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