(Both the published version and the arXiv version are available online.)
We give necessary and sufficient conditions for a polynomial of the form xr(1+xv+x2v+...+xkv)t to permute the elements of the finite field Fq. Our results yield especially simple criteria in case (q-1) / gcd(q-1, v) is a small prime. In case this prime is at most 7 and the polynomial is a binomial, this yields the results of L. Wang and A. Akbary–Q. Wang, which were proved by more complicated methods.
Michael Zieve: home page publication list