May 7, 2024Open Access

On the irreducibility of f (2ⁿ, 3ᵐ, X) and other such polynomials

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Abstract

Let f (t₁, , tᵣ, X) Zt₁, , tᵣ, X be irreducible and let a₁, , aᵣ Z \0, 1\. Under a necessary ramification assumption on f, and conditionally on the Generalized Riemann Hypothesis, we show that for almost all integers n₁, , nᵣ, the polynomial f (a₁^n₁, , aᵣ^nᵣ, X) is irreducible in QX.

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Cite This Study

Bary‐Soroker et al. (Tue,) studied this question.

synapsesocial.com/papers/68e6b4c2b6db6435876358f8 https://doi.org/https://doi.org/10.48550/arxiv.2405.04058

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