Abstract
We extend a result of Cavachi on sums of relatively prime polynomials by proving that a polynomial of the form $f(X)+p^{k}g(X)$, with $f$ and $g$ relatively prime polynomials with integer coefficients, $\deg f<\deg g$, and $k$ a positive integer prime to $\deg g$ is irreducible over $\mathbb{Q}$ for all but finitely many prime numbers $p$.
Citation
Nicolae Ciprian Bonciocat. "An irreducibility criterion for the sum of two relatively prime polynomials." Funct. Approx. Comment. Math. 54 (2) 163 - 171, June 2016. https://doi.org/10.7169/facm/2016.54.2.3
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