Power-free values of the polynomial t_1...t_r - 1
Number Theory
2012-04-03 v3
Abstract
Let k, r > 1 be two integers. We prove an asymptotic formula for the number of k-free values of the r variables polynomial t_1...t_r - 1 over the integral points of [1, x]^r.
Keywords
Cite
@article{arxiv.1102.0679,
title = {Power-free values of the polynomial t_1...t_r - 1},
author = {Pierre Le Boudec},
journal= {arXiv preprint arXiv:1102.0679},
year = {2012}
}
Comments
Final version