On the distribution of non-primitive lattice points in the plane

2021/01/31 by Moshchevitin, Nikolay
#11J20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2102.00543

Abstract

We improve on a result by Svetlana Jitomirskaya and Wencai Liu dealing with inhomogeneous Diophantine approximation in the coprime setting.

Related

• Inhomogeneous approximation with coprime integers and lattice orbits
• Approximation of points in the plane by generic lattice orbits
• The distribution of lattice points with relatively r-prime
• Inhomogeneous approximation by coprime integers
• Effective equidistribution of primitive rational points on expanding horospheres