A Note on Sphere Packings in High Dimension

作者:Venkatesh Akshay*
来源:International Mathematics Research Notices, 2013, 2013(7): 1628-1642.
DOI:10.1093/imrn/rns096

摘要

We improve on the lower bounds for the optimal density of sphere packings. In all sufficiently large dimensions, the improvement is by a factor of at least 10,000; along a sparse sequence of dimensions n(i) we improve the density by roughly log log n(i).

  • 出版日期2013