ASYMPTOTICS FOR NUMBERS OF LINE SEGMENTS AND LINES IN A SQUARE GRID

DOI10.1142/S1793042112500698zbMath1247.05019arXiv1110.6864MaRDI QIDQ2909029

Pentti Haukkanen, Jorma Kaarlo Merikoski

Publication date: 29 August 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6864

zbMATH Keywords

Riemann hypothesisasymptotic formulasinteger latticesquare grid

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Asymptotic enumeration (05A16) Lattice points in specified regions (11P21)

Related Items (1)

Asymptotics of the number of 2-threshold functions

Cites Work

• Formulas for the number of gridlines
• The Riemann hypothesis. A resource for the afficionado and virtuoso alike
• A note on Euler's phi-function
• On the average order of the function \(E(x) = \sum_{n\leq x}\varphi(n)-{{3x^ 2}\over{\pi^ 2}}\).
• On the Number of Two-Dimensional Threshold Functions
• Note on the Number of Two-Dimensional Threshold Functions

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