@techreport{829e531934eb45d9a07db101ed82b8fe,

title = "Density of power-free values of polynomials II",

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 $d\geq 5$. ",

keywords = "math.NT",

author = "Kostadinka Lapkova and Xiao, {Stanley Yao}",

year = "2020",

month = may,

day = "29",

language = "English",

series = "arXiv.org e-Print archive",

publisher = "Cornell University Library",

type = "WorkingPaper",

institution = "Cornell University Library",

}