There exist lattices in -D having Hypersphere Packing densities satisfying

where is the Riemann Zeta Function. However, the proof of this theorem is nonconstructive and it is still not known how to actually construct packings that are this dense.

**References**

Conway, J. H. and Sloane, N. J. A. *Sphere Packings, Lattices, and Groups, 2nd ed.* New York: Springer-Verlag,
pp. 14-16, 1993.

© 1996-9

1999-05-26