Visible lattice points along curves (Jul, 10.1007/s11139-020-00302-w, 2020)

被引：0
|
作者：
Liu, Kui [1 ]
Meng, Xianchang [2 ]
机构：
[1] Qingdao Univ, Sch Math & Stat, 308 Ningxia Rd, Qingdao, Shandong, Peoples R China
[2] Georg August Univ Gottingen, Mathemat Inst, Bunsenstr 3-5, D-37073 Gottingen, Germany
来源：
RAMANUJAN JOURNAL | 2021年 / 56卷 / 03期
关键词：
Joint visibility; Lattice points; Möbius function;
D O I：
10.1007/s11139-021-00487-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. © 2020, The Author(s).
引用
收藏
页码：1087 / 1088
页数：2
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