Fonctions complètement $Q$-additives le long des polynômes irréductibles à coefficients dans un corps fini

Abstract

Let $\mathbb F$ be a finite field with $q$ elements, ${\bf I}_{N}$ the set of monic irreducible polynomials of degree $N$ over $\mathbb F$, $Q \in \mathbb F[T]$ and $w$ an integer-valued completely $Q$-additive function. The goal of this work is to study