Lehmer's totient problem over ${\mathbb{F}}_q[x]$

Qingzhong Ji, Hourong Qin

In this paper, we consider the function field analogue of the Lehmer's totient problem. Let $p(x)\in {\mathbb{F}}_q[x]$ and $\phi (q,p(x))$ be the Euler's totient function of $p(x)$ over…