Visible lattice points along curves

2020 | journal article. A publication with affiliation to the University of Göttingen.

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​Visible lattice points along curves​
Liu, K. & Meng, X.​ (2020) 
The Ramanujan Journal, 56(3) pp. 1073​-1086​.​ DOI: https://doi.org/10.1007/s11139-020-00302-w 

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Authors
Liu, Kui; Meng, Xianchang
Abstract
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.
Issue Date
2020
Journal
The Ramanujan Journal 
Organization
Mathematisches Institut 
ISSN
1382-4090
eISSN
1572-9303
Language
English
Sponsor
Natural Science Foundation of Shandong Province http://dx.doi.org/10.13039/501100007129
Alexander von Humboldt-Stiftung http://dx.doi.org/10.13039/100005156

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