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
相关论文
共 50 条
  • [1] Correction to: Visible lattice points along curves
    Kui Liu
    Xianchang Meng
    The Ramanujan Journal, 2021, 56 (3) : 1087 - 1088
  • [2] Consultation on kidney stones, Copenhagen 2019: lithotripsy in percutaneous nephrolithotomy (Jul, 10.1007/s00345-020-03383-w, 2020)
    Axelsson, Tomas Andri
    Cracco, Cecilia
    Desai, Mahesh
    Hasan, Mudhar Nazar
    Knoll, Thomas
    Montanari, Emanuele
    Perez-Fentes, Daniel
    Straub, Michael
    Thomas, Kay
    Williams, James C., Jr.
    Brehmer, Marianne
    Osther, Palle J. S.
    WORLD JOURNAL OF UROLOGY, 2021, 39 (06) : 1671 - 1672
  • [3] Normal integral bases of Lehmer's cyclic quintic fields (Jul, 10.1007/s11139-024-00875-w, 2024)
    Hashimoto, Yu
    Aoki, Miho
    RAMANUJAN JOURNAL, 2024, 65 (02): : 1011 - 1012
  • [4] Editorial: symmetries and asymmetries in physics (Jul, 10.1007/s11229-020-02745-6, 2020)
    Dardashti, Radin
    Frisch, Mathias
    Valente, Giovanni
    SYNTHESE, 2021, 199 (3-4) : 11179 - 11180
  • [5] Parseval Proximal Neural Networks (Jul, 10.1007/s00041-020-09761-7, 2020)
    Hasannasab, Marzieh
    Hertrich, Johannes
    Neumayer, Sebastian
    Plonka, Gerlind
    Setzer, Simon
    Steidl, Gabriele
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021, 27 (03)
  • [6] Visible lattice points along curves in higher dimensional random walks
    Lu, Meijie
    DISCRETE MATHEMATICS, 2024, 347 (06)
  • [7] Clinical Symptoms of autoinflammatory Diseases (Jul, 10.1007/s00105-020-04582-7, 2020)
    Rolfes, E.
    Ngoumou, G.
    Bonnekoh, H.
    Krause, K.
    Kallinich, T.
    HAUTARZT, 2020, 71 (08): : 656 - 656
  • [8] Obituary: John Ernest Randall (1924-2020) (Jul, 10.1007/s10228-020-00765-3, 2020)
    Matsuura, Keiichi
    ICHTHYOLOGICAL RESEARCH, 2020, 67 (04) : 563 - 563
  • [9] The search for, and chemistry and mechanism of, neurotrophic natural products (Jul, 10.1007/s11418-020-01431-8, 2020)
    Fukuyama, Yoshiyasu
    Kubo, Miwa
    Harada, Kenichi
    JOURNAL OF NATURAL MEDICINES, 2020, 74 (04) : 672 - 672
  • [10] The transformation of professors' careers: standardization, hybridization, and acceleration? (Jul, 10.1007/s10734-020-00590-7, 2020)
    Benz, Pierre
    Buhlmann, Felix
    Mach, Andre
    HIGHER EDUCATION, 2021, 81 (05) : 987 - 987
12345