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This article is cited in 2 scientific papers (total in 2 papers)
Upper and Lower Bounds for the Voronoi–Minkowski constant
M. O. Avdeeva, V. A. Bykovskii Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
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 $\Gamma$.
Keywords:
Voronoi–Minkowski constant, integer lattice, Cauchy–Bunyakovskii inequality.
Received: 28.04.2008
Citation:
M. O. Avdeeva, V. A. Bykovskii, “Upper and Lower Bounds for the Voronoi–Minkowski constant”, Mat. Zametki, 87:4 (2010), 483–491; Math. Notes, 87:4 (2010), 457–465
Linking options:
https://www.mathnet.ru/eng/mzm4886https://doi.org/10.4213/mzm4886 https://www.mathnet.ru/eng/mzm/v87/i4/p483
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Abstract page: | 646 | Full-text PDF : | 195 | References: | 70 | First page: | 29 |
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