@ARTICLE{Dvir08onthe, author = {Zeev Dvir}, title = {On the size of Kakeya sets in finite fields}, journal = {J. AMS}, year = {2008} }
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Abstract
Abstract. A Kakeya set is a subset of � n, where � is a finite field of q elements, that contains a line in every direction. In this paper we show that the size of every Kakeya set is at least Cn · q n, where Cn depends only on n. This answers a question of Wolff [Wol99]. 1.