New bounds for densest packing of spheres in $n$-dimensional Euclidean space
Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 147-157 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article we obtain an upper bound for the number of spherical segments of angular radius $\alpha$ that lie without overlapping on the surface of an $n$-dimensional sphere, and an upper bound for the density of filling $n$-dimensional Euclidean space with equal spheres. In these bounds, the constant in the exponent of $n$ is less than the corresponding constant in previously known bounds. Bibliography: 8 titles.
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V. M. Sidel'nikov. New bounds for densest packing of spheres in $n$-dimensional Euclidean space. Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 147-157. http://geodesic.mathdoc.fr/item/SM_1974_24_1_a8/

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