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 -