On extra zeros of p-adic L-functions: the crystalline case

2013/05/02 by Denis Benois, Benois, Denis
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1305.0431

openalex publication_date 2013/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate a conjecture about extra zeros of p-adic L-functions at near central points which generalises the conjecture formulated in our previous paper. We prove that this conjecture is compatible with Perrin-Riou's theory of p-adic L-functions.

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