Characteristic functions for \MakeLowercase{(r, n)}-free and \MakeLowercase{(f, g)}-free elements

Himangshu Hazarika, Dhiren Kumar Basnet

For a prime power $q$, $\F$ denotes the finite field of order $q$, and for $m\ge 2$, $\Fm$ denotes the extension field of degree $m$. We establish a characteristic function for th…