3 citations · 7 across the 13 of their papers we have counts for
13 papers
Local Factorization of p-adic Gamma Sums
Samuel Reid
We revisit the proposed equality between discrete Fourier transforms of -adic --values and -adic --derivatives for odd characters modulo a prime . The clean identi…
Rectifications of Convex Polyhedra
Samuel Reid
A convex polyhedron, that is, a compact convex subset of which is the intersection of finitely many closed half-spaces, can be rectified by taking the convex hull of…
On Arrangements of Six, Seven, and Eight Spheres: Maximal Bonding of Monatomic Ionic Compounds
Samuel Reid
Let be the solution to the contact number problem, i.e., the maximum number of touching pairs among any packing of congruent spheres in . We prove the long…
On Contact Numbers of Finite Lattice Sphere Packings and the Maximal Coordination of Monatomic Crystals
Samuel Reid
We algorithmically characterize the maximal contact number problem for finite congruent lattice sphere packings in and show that in this problem is eq…
Upper Bounds for Non-Congruent Sphere Packings
Samuel Reid
We prove upper bounds on the average kissing number and contact number of an arbitrary finite non-congruent sphere packing , and prov…
Regular Totally Separable Sphere Packings
Samuel Reid
The topic of totally separable sphere packings is surveyed with a focus on regular constructions, uniform tilings, and contact number problems. An enumeration of all regular totall…