TY - JOUR

T1 - Lehmer points and visible points on affine varieties over finite fields

AU - Mak, Kit Ho

AU - Zaharescu, Alexandru

N1 - Funding Information:
Supported by NSF grant number DMS - 0901621.

PY - 2014/3

Y1 - 2014/3

N2 - 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.

AB - 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.

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U2 - 10.1017/S0305004113000613

DO - 10.1017/S0305004113000613

M3 - Article

AN - SCOPUS:84897585651

SN - 0305-0041

VL - 156

SP - 193

EP - 207

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

IS - 2

ER -