On the Finite Field Kakeya Problem in Two Dimensions

Details On the Finite Field Kakeya Problem in Two Dimensions On the Finite Field Kakeya Problem in Two Dimensions

2005-10-17

arxiv.org/abs/math/0510356v2

Mathematics

Number Theory

9 pages; added mention of an alternate proof of the Incidence Formula; included mention of the recent related result of Joshua

Scientific paper

A 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.

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