24 citations · 28 across the 4 of their papers we have counts for
4 papers
Riesz bases of exponentials and multi-tiling in finite abelian groups
Sam Ferguson, Azita Mayeli, Nat Sothanaphan
Motivated by the open problem of exhibiting a subset of Euclidean space which has no exponential Riesz basis, we focus on exponential Riesz bases in finite abelian groups. We point…
Fuglede's conjecture fails in 4 dimensions over odd prime fields
Samuel Ferguson, Nat Sothanaphan
Fuglede's conjecture in , a prime, says that a subset tiles by translation if and only if is spectral, meaning any complex-valu…
Sphere packings V
Samuel P. Ferguson
The Hales program to prove the Kepler conjecture on sphere packings consists of five steps, which if completed, will jointly comprise a proof of the conjecture. We carry out step f…
A formulation of the Kepler conjecture
Samuel P. Ferguson, Thomas C. Hales
This is the second in a series of papers giving a proof of the Kepler conjecture, which asserts that the density of a packing of congruent spheres in three dimensions is never grea…