2 papers
math.NT2026
Large smooth twins from short lattice vectors
Erik Mulder, Bruno Sterner, Wessel van Woerden
Finding the largest pair of consecutive -smooth integers is computationally challenging. Current algorithms to find such pairs have an exponential runtime -- which has only be p…
math.NT2026
The lattice packing problem in dimension 9 by Voronoi's algorithm
Mathieu Dutour SikiriÄ, Wessel van Woerden
In 1908, Voronoi introduced an algorithm that solves the lattice packing problem in any dimension in finite time. Voronoi showed that any lattice with optimal packing density must…