Lehmer points and visible points on affine varieties over finite fields

Details Lehmer points and visible points on affine varieties over finite fields Lehmer points and visible points on affine varieties over finite fields

2011-10-21

arxiv.org/abs/1110.4691v2

Mathematics

Number Theory

16 pages

Scientific paper

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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