Primitive values of rational functions at primitive elements of a finite field

Stephen D. Cohen, Hariom Sharma, Rajendra Sharma

Given a prime power $q$ and an integer $n\ge 2$, we establish a sufficient condition for the existence of a primitive pair $(\alpha ,f(\alpha ))$ where $\alpha \in {\mathbb{F}}_q$ and $f(x) \in \mathb…