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arXiv · 1110.4691

Lehmer points and visible points on affine varieties over finite fields

Kit-Ho Mak·Alexandru Zaharescu
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Abstract

Let $V$ be an absolutely irreducible affine variety over $\mathbb{F}_p$. A Lehmer point on $V$ is a point whose coordinates satisfy some prescribed congruence conditions, and a visible point is one whose coordinates are relatively prime. Asymptotic results for the number of Lehmer points and visible points on $V$ are obtained, and the distribution of visible points into different congruence classes is investigated.

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Kit-Ho Mak, Alexandru Zaharescu. 2013-01-07. Lehmer points and visible points on affine varieties over finite fields. https://doi.org/10.1017/s0305004113000613

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