Lehmer points and visible points on affine varieties over finite fields

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Let V be an absolutely irreducible affine variety over Fp. 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.

Original languageEnglish (US)
Pages (from-to)193-207
Number of pages15
JournalMathematical Proceedings of the Cambridge Philosophical Society
Issue number2
StatePublished - Mar 2014

ASJC Scopus subject areas

  • General Mathematics

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