Ciprian Mircea Bonciocat, Nicolae Ciprian Bonciocat, Yann Bugeaud, Mihai Cipu, Maurice Mignotte: Irreducibility criteria for some classes of compositions of polynomials with integer coefficients, 149-180

Abstract:

We provide irreducibility criteria for compositions of polynomials with integer coefficients, of the form $f\circ g(X)$, for the case that $f$ has leading coefficient divisible by the $k^{th}$ power of a sufficiently large prime number, and $k$ is coprime to $\deg f$ and $\deg g$.

Key Words: Irreducible polynomial, resultant, prime number.

2010 Mathematics Subject Classification: Primary 11R09; Secondary 11C08.

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