An equivariant p-adic Artin conjecture

2024/04/23 by Ben Forrás, Forrás, Ben
Mathematics · #11R23 (Primary) #11R42 #11R80 (Secondary) #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2404.15078

openalex publication_date 2024/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate an equivariant version of Greenberg's p-adic Artin conjecture for smoothed equivariant p-adic Artin L-functions in the context of an arbitrary one-dimensional admissible p-adic Lie extension of a totally real number field. Using results of the author on the Wedderburn decomposition of the total ring of quotients of the Iwasawa algebra Λ(\mathcal G), we deduce validity of the conjecture in several interesting cases.

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