Note sur les périodes d’Iwasawa associées à un \(\upvarphi \)-module filtré

We associate to a filtered \(\varphi \) $\phi$ -module \(\mathcal {D}\) $\mathcal{D}$ a sub- \(\mathbb Z_p[[x]]\) ${\mathbb{Z}}_p[[x]]$ -module of convergent series on the open unit disk in which the p-adic L-functions of the Galois representation associated to \(\mathcal {D}\) $\mathcal{D}$ live (if they exist). This generalizes the already known case where \(\mathcal {D}\) $\mathcal{D}$ is of dimension 2, for example associated to an elliptic curve or a modular form.