(Both the published version and the arXiv version are available online.)

We give necessary and sufficient conditions for a polynomial of the form  x^r(1+x^v+x^2v+...+x^kv)^t  to permute the elements of the finite field  F_q.  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