The Steinhaus tiling problem and the range of certain quadratic forms

Simple item page
dc.creatorKolountzakis, Mihail N.
dc.creatorPapadimitrakis, Michael
dc.date2000-09-22
dc.date.accessioned2026-07-07T04:37:40Z
dc.date.available2026-07-07T04:37:40Z
dc.descriptionWe give a short proof of the fact that there are no measurable subsets of Euclidean space (in dimension d > 2), which, no matter how translated and rotated, always contain exactly one integer lattice point. In dimension d=2 (the original Steinhaus problem) the question remains open.
dc.identifierhttps://arxiv.org/abs/math/0009207
dc.identifierhttp://arxiv.org/abs/math/0009207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59986
dc.subjectClassical Analysis and ODEs
dc.subjectMetric Geometry
dc.subjectNumber Theory
dc.subject52C22; 11E25
dc.titleThe Steinhaus tiling problem and the range of certain quadratic forms
dc.typetext

Files

Collections

arXiv