Abstract
Let $K$ be an algebraic field of degree $N$ and let $p$ be an odd prime. It is shown that if $K$ does not contain $p$-th primitive roots of unity and $f(X)=X^{p^k}+c$ with $k\ge1$ and non-zero $c\in K$, then the length of cycles of $f$ in $K$ is bounded by a value depending only on $K$ and $p$. If $p>2^N$, then this bound depends only on $N$.
Citation
Władysław Narkiewicz. "Cycle-lengths of a class of monic binomials." Funct. Approx. Comment. Math. 42 (2) 163 - 168, June 2010. https://doi.org/10.7169/facm/1277811639
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