Power-free values of binary forms and the global determinant method
Number Theory
2017-12-25 v2
Abstract
We give an improved estimate for the density of -free values of integral binary forms with no fixed -th power divisor. Further, we give the corresponding improvement to a theorem of Stewart and Top on the number of power-free values in an interval that may be assumed by a binary form. The approach we use involves a generalization of the global determinant method of Salberger.
Cite
@article{arxiv.1505.05587,
title = {Power-free values of binary forms and the global determinant method},
author = {Stanley Yao Xiao},
journal= {arXiv preprint arXiv:1505.05587},
year = {2017}
}
Comments
45 pages; final accepted version