Elements of high order in finite fields specified by binomials

Victor Bovdi, Adama Diene, Roman Popovych

Let $F_q$ be a field with $q$ elements, where $q$ is a power of a prime number $p\ge 5$. For any integer $m\ge 2$ and $a\in F_q^{\ast }$ such that the polynomial $x^m-a$ is irreducible…