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- W2507147910 abstract "We give improved lower bounds on the size of Kakeya and Nikodym sets over $mathbb{F}_q^3$. We also propose a natural conjecture on the minimum number of points in the union of a not-too-flat set of lines in $mathbb{F}_q^3$, and show that this conjecture implies an optimal bound on the size of a Nikodym set." @default.
- W2507147910 created "2016-09-16" @default.
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- W2507147910 date "2016-09-05" @default.
- W2507147910 modified "2023-09-24" @default.
- W2507147910 title "Finite field Kakeya and Nikodym sets in three dimensions" @default.
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- W2507147910 doi "https://doi.org/10.48550/arxiv.1609.01048" @default.
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