Square-free values of random polynomials
Number Theory
2023-05-26 v1
Abstract
The question of whether or not a given integral polynomial takes infinitely many square-free values has only been addressed unconditionally for polynomials of degree at most 3. We address this question, on average, for polynomials of arbitrary degree.
Cite
@article{arxiv.2305.15493,
title = {Square-free values of random polynomials},
author = {Tim Browning and Igor Shparlinski},
journal= {arXiv preprint arXiv:2305.15493},
year = {2023}
}
Comments
18 pages