Newly reducible polynomial iterates

Peter Illig, Rafe Jones, Eli Orvis +2

Given a field $K$ and $n>1$, we say that a polynomial $f\in K[x]$ has newly reducible $n$th iterate over $K$ if $f^{n-1}$ is irreducible over $K$, but $f^n$ is not (here $f^i$ d…