On randomly chosen arrangements of \(q+1\) lines with different slopes in \(\mathbb{F}_q^2\)

DOI10.1016/j.jnt.2017.05.013zbMath1406.11018OpenAlexW2735665744MaRDI QIDQ2401211

Stéphane Blondeau Da Silva

Publication date: 31 August 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.05.013

zbMATH Keywords

arrangements of linesBesicovitch sets\(\mathbb{F}_q^2\)

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

Related Items

On minimal Besicovitch arrangements in \(\mathbb{F}_q^2\): statistical properties and combinatorial implications, Complexities of self-dual normal bases

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