Note sur les périodes d'Iwasawa associées à un $\phi$-module filtré

Abstract

We associate to a filtered $\phi$-module $D$ a sub-$Z_p[[x]]$-module of convergent series on the open unit disk in which the $p$-adic $L$-functions of the Galois representation associated to $D$ and the $Z_p$-cyclotomic extension live (if they exist). This generalizes the already known case where $D$ is associated to an elliptic curve or a modular form.

arXiv comment31 pages, in French language