arXiv:1603.04246 Abstract | arXiv Analytics

Published 2016-03-14Version 1

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.

Comments: 22 pages, 2 figures

Categories: math.NT, math.MG

Subjects: 52C17, 11F03, 11F30

Keywords: sphere packing problem, lattice packing

Related articles:

arXiv:1603.06518 [math.NT] (Published 2016-03-21)

The sphere packing problem in dimension 24

arXiv:2002.05682 [math.NT] (Published 2020-02-13)

Equidistribution and inequalities for partitions into powers

Alexandru Ciolan

arXiv:1906.11112 [math.NT] (Published 2019-06-26)

Zeros of Optimal Functions in the Cohn-Elkies Linear Program

Nina Zubrilina