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Upper and lower bounds for the Voronoi-Minkowski constant
Authors:M. O. Avdeeva  V. A. Bykovskii
Affiliation:1. Khabarovsk Division of the Institute of Applied Mathematics, Russian Academy of Sciences, Khabarovsk, Russia
Abstract:We study the behavior of the constant C(s) as s → ∞ arising in the estimate of the number of relative minima of s-dimensional integer lattices Γ via the logarithm log2 N raised to the s ? 1th power, where N = D(Γ) is the determinant of Γ.
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