# Density of power-free values of polynomials II

Research output: Working paperPreprint

## Abstract

In this paper we prove that polynomials $F(x_1, \cdots, x_n) \in \mathbb{Z}[x_1, \cdots, x_n]$ of degree $d \geq 3$, satisfying certain hypotheses, take on the expected density of $(d-1)$-free values. This extends the authors' earlier result where a different method implied the similar statement for polynomials of degree $d\geq 5$.
Original language English Published - 29 May 2020

### Publication series

Name arXiv.org e-Print archive Cornell University Library

• math.NT

## Fingerprint

Dive into the research topics of 'Density of power-free values of polynomials II'. Together they form a unique fingerprint.