Irrationalité aux entiers impairs positifs d'un q-analogue de la fonction zeta de Riemann

Frederic Jouhet, Elie Mosaki

In this paper, we focus on a q-analogue of the Riemann zeta function at positive integers, which can be written for s\in\N^* by ζ_q(s)=\sum_{k\geq 1}q^k\sum_{d|k}d^{s-1}. We give a…