Counting square-free values of random polynomials
Number Theory
2026-01-28 v1
Abstract
We prove that the average error term when counting square-free values of polynomials is the quartic root of the main term.
Cite
@article{arxiv.2601.19319,
title = {Counting square-free values of random polynomials},
author = {Efthymios Sofos},
journal= {arXiv preprint arXiv:2601.19319},
year = {2026}
}