Power-Free Values of Polynomials

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.

19 pages

References in corpus (1)

• Power-Free Values of Polynomials

Cited by in corpus (5)

• Power-Free Values of Polynomials
• Counting rational points on quartic del Pezzo surfaces with a rational conic
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• Squarefree values of polynomials over the rational function field