The sphere packing problem in dimension 8

Pages 991-1015 from Volume 185 (2017), Issue 3 by Maryna S. Viazovska

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.

Keywords
, ,
Mathematical Subject Classification

Primary 2000: , ,

DOI
https://doi.org/10.4007/annals.2017.185.3.7
MR
3664816
zbMATH
06731863
Milestones
Received: 8 April 2016
Revised: 18 December 2016
Accepted: 19 December 2016
Published online: 12 April 2017

Authors

Maryna S. Viazovska

Berlin Mathematical School and Humboldt University of Berlin, Berlin, Germany

Current address:

École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland