2
$\begingroup$

Does knowing the exact number of $\mathbb{Z}^{n}$-lattice points in an $n$-sphere of arbitrary radius help one compute $n$-sphere packing density and kissing number?

Thanks!

  • 0
    All good comments. Thanks, everyone. However, my question still stands. Suppose one _did_ have a method of computing the _exact_ number of lattice points in an $n$-sphere. Would it help in understand sphere packing, at least in lattices unimodularly equivalent to $\mathbb{Z}^n$?2011-02-25

0 Answers 0