论文标题
沿曲线可见的晶格点
Visible lattice points along curves
论文作者
论文摘要
本文涉及平面中的晶格点的数量，这些晶格点沿着某些曲线可见到某些晶格点中的所有元素。通过提出可见性级别的概念，我们可以在先前研究的定义中对“可见”点和“无形”点进行更仔细的分析。我们证明了不同可见度水平的晶格点数量的渐近公式。
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.
