Critical p-adic L-function

2009/12/15 by Joël Bellaïche, Bellaiche, Joel
Mathematics · #11F33 #11F67 #11F80 #11G40 #14G22 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0912.2925

openalex publication_date 2009/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We attach p-adic L-functions to critical modular forms and study them. We prove that those L-functions fit in a two-variables p-adic L-function defined locally everywhere on the eigencurve.

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