Lattice point visibility along powers of polynomials

TL;DR

This paper investigates the distribution of visible lattice points along polynomial lines and confirms the Visibility Density Conjecture for many polynomials.

Contribution

It proves the Visibility Density Conjecture for a broad class of polynomials, advancing understanding of lattice point visibility along polynomial trajectories.

Findings

Proves the Visibility Density Conjecture for a large class of polynomials.

Establishes density results for lattice points visible along polynomial lines.

Abstract

We study lattice point visibility along polynomial lines of sight and prove the Visibility Density Conjecture of Chaubey and Pandey for a large class of polynomials.