Power-Free Values of Polynomials
Number Theory
2015-06-12 v1
Abstract
Let f be an irreducible polynomial of degree d>=3 with no fixed prime divisor. We derive an asymptotic formula for the number of primes p<x such that f(p) is (d-1)-free.
Cite
@article{arxiv.1307.2802,
title = {Power-Free Values of Polynomials},
author = {Thomas Reuss},
journal= {arXiv preprint arXiv:1307.2802},
year = {2015}
}
Comments
19 pages