Upper and lower bounds for the Voronoi-Minkowski constant |
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Authors: | M. O. Avdeeva V. A. Bykovskii |
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Affiliation: | 1. Khabarovsk Division of the Institute of Applied Mathematics, Russian Academy of Sciences, Khabarovsk, Russia
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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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