English

The sphere packing problem in dimension 8

Number Theory 2019-04-15 v2 Metric Geometry

Abstract

In this paper we prove that no packing of unit balls in Euclidean space R8\mathbb{R}^8 has density greater than that of the E8E_8-lattice packing.

Keywords

Cite

@article{arxiv.1603.04246,
  title  = {The sphere packing problem in dimension 8},
  author = {Maryna Viazovska},
  journal= {arXiv preprint arXiv:1603.04246},
  year   = {2019}
}

Comments

22 pages, 2 figures

R2 v1 2026-06-22T13:10:12.514Z