Elementary criteria for irreducibility of $f(X^n)$

preprint2013arXivOpen access

Very simple sufficient conditions for the irreducibility of $f(X^n)$ over an arbitrary unique factorization domain $Z$ are established via a generalization of a well known theorem of A. Capelli.

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Elementary criteria for irreducibility of $f(X^n)$

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Elementary criteria for irreducibility of f(Xn)f(X^n)f(Xn)

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Elementary criteria for irreducibility of $f(X^n)$