On the Finite Field Kakeya Problem in Two Dimensions

dc.creatorFaber, X. W. C.
dc.date2005-10-17
dc.date2006-10-18
dc.date.accessioned2026-07-07T06:47:34Z
dc.date.available2026-07-07T06:47:34Z
dc.descriptionA two-dimensional Besicovitch set over a finite field is a subset of the finite plane containing a line in each direction. In this paper, we conjecture a sharp lower bound for the size of such a subset and prove some results toward this conjecture.
dc.description9 pages; added mention of an alternate proof of the Incidence Formula; included mention of the recent related result of Joshua Cooper. to appear in "Journal of Number Theory"
dc.identifierhttps://arxiv.org/abs/math/0510356
dc.identifierhttp://arxiv.org/abs/math/0510356
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103696
dc.subjectNumber Theory
dc.subject05B25; 11T99
dc.titleOn the Finite Field Kakeya Problem in Two Dimensions
dc.typetext

Files

Collections