Bounds on hyperbolic sphere packings: On a conjecture by Cohn and Zhao
Bounds on hyperbolic sphere packings: On a conjecture by Cohn and Zhao
We prove sphere packing density bounds in hyperbolic space (and more generally irreducible symmetric spaces of noncompact type), which were conjectured by Cohn and Zhao and generalize Euclidean bounds by Cohn and Elkies. We work within the Bowen-Radin framework of packing density and replace the use of the Poisson summation …