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

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI(2023)

Cited 0|Views1
No score
Abstract
We prove explicit bounds on the number of lattice points on or near a convex curve in terms of 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 of integral points in the plane.
More
Translated text
Key words
lattice points,convex curves,affine curvature.
AI Read Science
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined