On the distribution of non-primitive lattice points in the plane
Nikolay Moshchevitin
TL;DR
This paper advances the understanding of how non-primitive lattice points are distributed in the plane, with implications for inhomogeneous Diophantine approximation.
Contribution
It provides an improved result on the distribution of non-primitive lattice points, refining previous work by Jitomirskaya and Liu in the coprime setting.
Findings
Enhanced bounds on lattice point distribution
Refined inhomogeneous Diophantine approximation results
Improved theoretical understanding of coprime lattice points
Abstract
We improve on a result by Svetlana Jitomirskaya and Wencai Liu dealing with inhomogeneous Diophantine approximation in the coprime setting.
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