Geometric structure of sumsets

dc.creatorLee, Jaewoo
dc.date2007-04-25
dc.date.accessioned2026-07-07T07:58:10Z
dc.date.available2026-07-07T07:58:10Z
dc.descriptionGiven a finite set of lattice points, we compare its sumsets and lattice points in its dilated convex hulls. Both of these are known to grow as polynomials. Generally, the former are subsets of the latter. In this paper, we will see that sumsets occupy all the central lattice points in convex hulls, giving us a kind of approximation to lattice points in polytopes.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0704.3314
dc.identifierhttp://arxiv.org/abs/0704.3314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127906
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11H06, 11P21 (Primary) 52B20 (Secondary)
dc.titleGeometric structure of sumsets
dc.typetext

Files

Collections