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arxiv: 1603.06630 · v1 · pith:2ONBINKZnew · submitted 2016-03-21 · 🧮 math.NT

Evaluationally coprime linear polynomials

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

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