Squarefree density of polynomials
J. M. Kowalski, R. C Vaughan
TL;DR
This paper investigates the frequency of polynomials taking squarefree values within large regions around the origin, providing insights into their distribution and density.
Contribution
It offers new results on the density of squarefree polynomial values in multi-dimensional regions, extending previous work in number theory.
Findings
Established asymptotic density formulas for squarefree polynomial values
Identified conditions under which the density approaches a specific limit
Provided bounds for the distribution of squarefree values in large boxes
Abstract
This paper is concerned with squarefree values of polynomials and their density in large boxes centered at the origin.
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Taxonomy
TopicsLiquid Crystal Research Advancements · Meromorphic and Entire Functions