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arXiv · 2108.07652

Size of local finite field Kakeya sets

Ghurumuruhan Ganesan
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Abstract

Let $\mathbb{F}$ be a finite field consisting of $q$ elements and let $n \geq 1$ be an integer. In this paper, we study the size of local Kakeya sets with respect to subsets of $\mathbb{F}^{n}$ and obtain upper and lower bounds for the minimum size of a (local) Kakeya set with respect to an arbitrary set ${\mathcal T} \subseteq \mathbb{F}^{n}.$

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Ghurumuruhan Ganesan. 2021-08-15. Size of local finite field Kakeya sets. https://arxiv.org/abs/2108.07652

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