Journal Article

The sphere packing problem in dimension 8

Maryna S. Viazovska
Annals of Mathematics
SECOND SERIES, Vol. 185, No. 3 (May, 2017), pp. 991-1015
https://www.jstor.org/stable/26395747
Page Count: 25
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The sphere packing problem in dimension 8
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Abstract

In this paper we prove that no packing of unit balls in Euclidean space ℝ⁸ has density greater than that of the E₈-lattice packing.