Asymptotics for numbers of line segments and lines in a square grid
type: Item
instance of: scholarly article
zbMATH Open document ID: 1247.05019
DOI: 10.1142/S1793042112500698
author: Pentti Haukkanen
author: Jorma K. Merikoski
published in: International Journal of Number Theory
publication date: 2012-08-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.6864
Mathematics Subject Classification ID: 05A16
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11P21
zbMATH DE Number: 6073796
zbMATH Keywords: square grid
zbMATH Keywords: integer lattice
zbMATH Keywords: asymptotic formulas
zbMATH Keywords: Riemann hypothesis
MaRDI profile type: Publication
arXiv ID: 1110.6864
cites work: On the Number of Two-Dimensional Threshold Functions
cites work: The Riemann hypothesis. A resource for the afficionado and virtuoso alike
cites work: A note on Euler's phi-function
cites work: Formulas for the number of gridlines
cites work: On the average order of the function \(E(x) = \sum_{n\leq x}\varphi(n)-{{3x^ 2}\over{\pi^ 2}}\).
cites work: Note on the Number of Two-Dimensional Threshold Functions
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title: Asymptotics for numbers of line segments and lines in a square grid
description: scientific article; zbMATH DE number 6073796