Geodesic
Upper and Lower Bounds for the Voronoi--Minkowski constant
Matematičeskie zametki, Tome 87 (2010) no. 4, pp. 483-491

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We study the behavior of the constant $C(s)$ as $s\to\infty$ arising in the estimate of the number of relative minima of $s$-dimensional integer lattices $\Gamma$ via the logarithm $\log_2N$ raised to the $s-1$th power, where $N=D(\Gamma)$ is the determinant of $\Gamma$.
Mots-clés : Voronoi–Minkowski constant
Keywords: integer lattice, Cauchy–Bunyakovskii inequality. 
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     author = {M. O. Avdeeva and V. A. Bykovskii},
     title = {Upper and {Lower} {Bounds} for the {Voronoi--Minkowski} constant},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2010},
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M. O. Avdeeva; V. A. Bykovskii. Upper and Lower Bounds for the Voronoi--Minkowski constant. Matematičeskie zametki, Tome 87 (2010) no. 4, pp. 483-491. http://geodesic.mathdoc.fr/item/MZM_2010_87_4_a0/