English

Evaluationally coprime linear polynomials

Number Theory 2017-07-12 v1

Abstract

Two polynomials, f,gZ[x]f,g \in \mathbb{Z}[x] are evaluationally coprime at x if gcd(f(x),g(x))=1\gcd(f(x),g(x))=1. We give necessary and sufficient conditions for two such linear polynomials to have a positive proportion of evaluated coprime values.

Keywords

Cite

@article{arxiv.1603.06630,
  title  = {Evaluationally coprime linear polynomials},
  author = {Randell Heyman},
  journal= {arXiv preprint arXiv:1603.06630},
  year   = {2017}
}

Comments

5 pages

R2 v1 2026-06-22T13:15:43.687Z