An equivariant $p$-adic Artin conjecture

Ben Forrás

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arXiv · 2404.15078

An equivariant $p$-adic Artin conjecture

Ben Forrás

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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 $\Lambda(\mathcal G)$, we deduce validity of the conjecture in several interesting cases.

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Ben Forrás. 2024-04-23. An equivariant $p$-adic Artin conjecture. https://arxiv.org/abs/2404.15078

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