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math.NT2023★ 1 cited
Bounds on the density of smooth lattice coverings
Or Ordentlich, Oded Regev, Barak Weiss
Let be a convex body in , let be a lattice with covolume one, and let . We say that and form an -smooth cover if each point $x \in \mathbb{R}^…
math.NT2020
New bounds on the density of lattice coverings
Or Ordentlich, Oded Regev, Barak Weiss
We obtain new upper bounds on the minimal density of lattice coverings of Euclidean space by dilates of a convex body K. We also obtain bounds on the probability (with respect to t…