Abstract
We prove explicitbounds on the number of lattice points on or near a convex curve in termsof geometric invariants such as length, curvature, and affine arclength. In several of our results we obtain the best possible constants. Our estimates hold for lattices more general than the usual lattice ofintegral points in the plane.
Citation
Ralph Howard. Ognian Trifonov. "Bounding the number of lattice points near a convex curve by curvature." Funct. Approx. Comment. Math. 69 (2) 219 - 245, December 2023. https://doi.org/10.7169/facm/2087
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