Bounding the number of lattice points near a convex curve by curvature

DOI10.7169/facm/2087arXiv2207.09532OpenAlexW4387884669MaRDI QIDQ6187380

Ognian Trifonov, Ralph Howard

Publication date: 15 January 2024

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.09532

zbMATH Keywords

lattice pointsaffine curvatureconvex curves

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21)

Cites Work

• Unnamed Item
• The number of lattice points on a convex curve
• Starting with gaps between k-free numbers
• Close Lattice Points on Circles
• The integer points close to a curve
• From Triangles to Manifolds
• Arcs containing no three lattice points
• The Distribution of Fractional Parts with Applications to Gap Results in Number Theory
• A Cantor-Lebesgue theorem for double trigonometric series

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