Article ID Journal Published Year Pages File Type
4666732 Advances in Mathematics 2011 13 Pages PDF
Abstract

In this paper we prove an asymptotic lower bound for the sphere packing density in dimensions divisible by four. This asymptotic lower bound improves on previous asymptotic bounds by a constant factor and improves not just lower bounds for the sphere packing density, but also for the lattice sphere packing density and, in fact, the Hurwitz lattice sphere packing density.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)