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The number of lattice points within a contour and visible from the origin

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Publication:1891188
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DOI10.2140/pjm.1994.166.295zbMath0849.11078OpenAlexW2011676548MaRDI QIDQ1891188

Doug Hensley

Publication date: 12 November 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1994.166.295


zbMATH Keywords

divisor problemcircle problemmean value theoremnumber of lattice pointsasymptotic resultsplanar lattice point problem


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21)


Related Items (4)

Order statistics in the Farey sequences in sublinear time and counting primitive lattice points in polygons ⋮ The linking number in systems with periodic boundary conditions ⋮ Simultaneous visibility in the integer lattice ⋮ Visible lattice points along curves




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