Geodesic
New bounds for densest packing of spheres in $n$-dimensional Euclidean space
Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 147-157

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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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     author = {V. M. Sidel'nikov},
     title = {New bounds for densest packing of spheres in $n$-dimensional {Euclidean} space},
     journal = {Sbornik. Mathematics},
     pages = {147--157},
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     volume = {24},
     number = {1},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1974_24_1_a8/}
}
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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/