On Artin's Primitive Root Conjecture for Function Fields over ${\mathbb{F}}_q$

Leonhard Hochfilzer, Ezra Waxman

In 1927, E. Artin proposed a conjecture for the natural density of primes $p$ for which $g$ generates $(\mathbb{Z}/p\mathbb{Z}{)}^{\times }$. By carefully observing numerical deviations…