On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
Michael E. Zieve · Proceedings of the American Mathematical Society · 2008
Several recent papers have given criteria for certain polynomials to permute F q , in terms of the periods of certain generalized Lucas sequences.We show that these results follow from a more general criterion which does not involve such sequences.