Visible lattice points along curves
Number Theory
2020-05-29 v1
Abstract
This paper concerns the number of lattice points in the plane which are visible along certain curves to all elements in some set S of lattice points simultaneously. By proposing the concept of level of visibility, we are able to analyze more carefully about both the "visible" points and the "invisible" points in the definition of previous research. We prove asymptotic formulas for the number of lattice points in different levels of visibility.
Cite
@article{arxiv.2005.13994,
title = {Visible lattice points along curves},
author = {Kui Liu and Xianchang Meng},
journal= {arXiv preprint arXiv:2005.13994},
year = {2020}
}