有限域上仿射簇的Lehmer点与可见点
数论
2019-02-20 v4 代数几何
摘要
设为上的绝对不可约仿射簇。上的Lehmer点是指其坐标满足某些指定同余条件的点，而可见点是指其坐标互素的点。我们得到了上Lehmer点和可见点数量的渐近结果，并研究了可见点在不同同余类中的分布。
引用
@article{arxiv.1110.4691,
title = {Lehmer points and visible points on affine varieties over finite fields},
author = {Kit-Ho Mak and Alexandru Zaharescu},
journal= {arXiv preprint arXiv:1110.4691},
year = {2019}
}
备注
16 pages, accepted for publication in Math. Proc. Cambridge Philos. Soc. Theorem 2 of this paper is improved from the published version