Size of Local Finite Field Kakeya Sets
نویسندگان
چکیده
Let \(\mathbb {F}\) be a finite field consisting of \(q\) elements and let \(n \ge 1\) an integer. In this paper, we study the size local Kakeya sets with respect to subsets {F}^{n}\) obtain upper lower bounds for minimum (local) set arbitrary \({\mathcal T} \subseteq \mathbb {F}^{n}\).
منابع مشابه
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We present a construction of a measure-zero Kakeya-type set in a finite-dimensional space K over a local field with finite residue field. The construction is an adaptation of the ideas appearing in [12] and [13]. The existence of measure-zero Kakeya-type sets over discrete valuation rings is also discussed, giving an alternative construction to the one presented in [4] over Fq[[t]].
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ژورنال
عنوان ژورنال: Trends in mathematics
سال: 2021
ISSN: ['2297-024X', '2297-0215']
DOI: https://doi.org/10.1007/978-3-030-83823-2_1