A Note on Sphere Packings in High Dimension

نویسنده

  • AKSHAY VENKATESH
چکیده

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 ni we improve the density by roughly log log ni.

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تاریخ انتشار 2011