Primitive lattice points in starlike planar sets

Werner Georg Nowak

Vol. 179 (1997), No. 1, 163–178

DOI: 10.2140/pjm.1997.179.163

Abstract

This article is concerned with the number B_𝒟(x) of integer points with relative prime coordinates in 𝒟, where x is a large real variable and 𝒟 is a starlike set in the Euclidean plane. Assuming the truth of the Riemann Hypothesis, we establish an asymptotic formula for B_𝒟(x). Applications to certain special geometric and arithmetic problems are discussed.

Milestones

Received: 20 September 1995

Revised: 19 December 1995

Published: 1 May 1997