An improved asymptotic formula for the distribution of irreducible polynomials in arithmetic progressions over Fq

Zhang Zihan, Han Dongchun

Let ${\mathbb{F}}_q$ be a finite field with $q$ elements and ${\mathbb{F}}_q[x]$ the ring of polynomials over ${\mathbb{F}}_q$. Let $l(x),k(x)$ be coprime polynomials in $\mathbb{…