English

Integral points on convex curves

Number Theory 2018-10-03 v1

Abstract

We estimate the maximal number of integral points which can be on a convex arc in the plane with given length, minimal radius of curvature and initial slope.

Keywords

Cite

@article{arxiv.1810.01154,
  title  = {Integral points on convex curves},
  author = {Jean-Marc Deshouillers and Adrián Ubis},
  journal= {arXiv preprint arXiv:1810.01154},
  year   = {2018}
}

Comments

23 pages. Submitted for publication

R2 v1 2026-06-23T04:25:37.777Z