Integral points on convex curves

2018/10/02 by Deshouillers, Jean-Marc, Ubis, Adrián
#11P21 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1810.01154

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.

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