Abstract
In this paper we prove that no packing of unit balls in Euclidean space $\mathbb{R}^8$ has density greater than that of the $E_8$-lattice packing.
Citation
Maryna Viazovska. "The sphere packing problem in dimension $8$." Ann. of Math. (2) 185 (3) 991 - 1015, May 2017. https://doi.org/10.4007/annals.2017.185.3.7
Information
Published: May 2017
First available in Project Euclid: 21 December 2021
Digital Object Identifier: 10.4007/annals.2017.185.3.7
Rights: Copyright © 2017 Department of Mathematics, Princeton University
