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arXiv · 2301.06430

Note sur les p\'eriodes d'Iwasawa associ\'ees \`a un $\varphi$-module filtr\'e

Bernadette Perrin-Riou
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Abstract

We associate to a filtered $\varphi$-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.

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Bernadette Perrin-Riou. 2023-01-16. Note sur les p\'eriodes d'Iwasawa associ\'ees \`a un $\varphi$-module filtr\'e. https://arxiv.org/abs/2301.06430

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