On the finite field Kakeya problem in two dimensions |
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Authors: | X.W.C. Faber |
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Affiliation: | Department of Mathematics, Columbia University, New York, NY 10027, USA |
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Abstract: | 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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Keywords: | 05B25 11T99 |
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