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Marco Golla
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When is f$f(x^2x^d)$ irreducible?

Let f(x) is$f(x)$ be an irreducible polynomial of degree n$n$ over a finite field Fp$\mathbb F_p$. What can we say about f(x^d)$f(x^d)$? When is it irreducible ?

When is f(x^2) irreducible?

Let f(x) is an irreducible polynomial of degree n over a finite field Fp. What can we say about f(x^d)? When is it irreducible ?

When is $f(x^d)$ irreducible?

Let $f(x)$ be an irreducible polynomial of degree $n$ over a finite field $\mathbb F_p$. What can we say about $f(x^d)$? When is it irreducible ?

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When is f(x^2) irreducible?

Let f(x) is an irreducible polynomial of degree n over a finite field Fp. What can we say about f(x^d)? When is it irreducible ?