Squarefree density of polynomials

2023/09/18 by J. M. Kowalski, R. C. Vaughan, Kowalski, J. M. +1
Materials Science · Mathematics · #FOS: Mathematics #Liquid Crystal Research Advancements #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2309.10189

openalex publication_date 2023/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with squarefree values of polynomials and their density in large boxes centered at the origin.

Related

• On square-free values of large polynomials over the rational function field
• Density of power-free values of polynomials II
• Squarefree Values Of Polynomials
• Square-free values of polynomials evaluated at primes over a function field
• Square-free values of random polynomials