Fast multi-precision computation of some Euler products

Salma Ettahri, Olivier Ramaré, Léon Surel

For every modulus $q\ge 3$, we define a family of subsets $\mathcal{A}$ of the multiplicative group $(\mathbb{Z}/q\mathbb{Z}{)}^{\times }$ for which the Euler product $\prod_{p\text{mo…