Minkowski-Hlawka Theorem
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 stillnot known how to actually construct packings that are this dense.See also Hermite Constants, Hypersphere Packing
References
Conway, J. H. and Sloane, N. J. A. Sphere Packings, Lattices, and Groups, 2nd ed. New York: Springer-Verlag, pp. 14-16, 1993.
- Dinitz Problem
- Diocles's Cissoid
- Diophantine Equation
- Diophantine Equation--10th Powers
- Diophantine Equation--5th Powers
- Diophantine Equation--6th Powers
- Diophantine Equation--7th Powers
- Diophantine Equation--8th Powers
- Diophantine Equation--9th Powers
- Diophantine Equation--Cubic
- Diophantine Equation--Linear
- Diophantine Equation nth Powers
- Diophantine Equation--Quadratic
- Diophantine Equation--Quartic
- Diophantine Quadruple
- Diophantine Set
- Diophantus Property
- Diophantus' Riddle
- Dipyramid
- Dirac Delta Function
- Dirac Matrices
- Dirac's Theorem
- Directed Angle
- Directed Graph
- Directional Derivative