On the number of irreducible factors with a given multiplicity in function fields

Sourabhashis Das, Ertan Elma, Wentang Kuo +1

Let $k\ge 1$ be a natural number and $f\in {\mathbb{F}}_q[t]$ be a monic polynomial. Let ${\omega }_k(f)$ denote the number of distinct monic irreducible factors of $f$ with multiplicity…