A new construction in the theory of lattice coverings of an $n$-dimensional space by equal spheres
Izvestiya. Mathematics , Tome 4 (1970) no. 2, pp. 293-302

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This article furnishes a new construction principle in the theory of lattice coverings of an $n$-dimensional space by equal spheres. The principle is based on the convexity of a body $\mathbf V$ in the parameter space. The whole theory is deduced from association of this convexity with strict convexity of the discriminant body.
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     author = {B. N. Delone and N. P. Dolbilin and S. S. Ryshkov and M. I. Shtogrin},
     title = {A new construction in the theory of lattice coverings of an $n$-dimensional space by equal spheres},
     journal = {Izvestiya. Mathematics },
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     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a1/}
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B. N. Delone; N. P. Dolbilin; S. S. Ryshkov; M. I. Shtogrin. A new construction in the theory of lattice coverings of an $n$-dimensional space by equal spheres. Izvestiya. Mathematics , Tome 4 (1970) no. 2, pp. 293-302. http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a1/