Kakeya-type sets in finite vector spaces
Copyright policy )Kakeya-type sets in finite vector spaces
For a finite vector space $V$ and a non-negative integer $r\le\dim V$ we estimate the smallest possible size of a subset of $V$, containing a translate of every $r$-dimensional subspace. In particular, we show that if $K\subset V$ is the smallest subset with this property, $n$ denotes the dimension of $V$, and $q$ is the size of the underlying field, then for $r$ bounded and $r
- University of Haifa Israel
- Massachusetts Institute of Technology United States
- Microsoft (United States) United States
- Microsoft Research (United Kingdom) United Kingdom
Kakeya problem, Mathematics - Number Theory, 05B25; 51E20; 52C17., Maximal functions, Littlewood-Paley theory, 52C17., 51E20, Polynomial method, Harmonic analysis in several variables, FOS: Mathematics, Number Theory (math.NT), Kakeya sets, 05B25, finite field
Kakeya problem, Mathematics - Number Theory, 05B25; 51E20; 52C17., Maximal functions, Littlewood-Paley theory, 52C17., 51E20, Polynomial method, Harmonic analysis in several variables, FOS: Mathematics, Number Theory (math.NT), Kakeya sets, 05B25, finite field
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