An equivariant $p$-adic Artin conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912613712003072 |
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| author | Forrás, Ben |
| author_facet | Forrás, Ben |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15078 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An equivariant $p$-adic Artin conjecture Forrás, Ben Number Theory 11R23 (Primary), 11R42, 11R80 (Secondary) 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. |
| title | An equivariant $p$-adic Artin conjecture |
| topic | Number Theory 11R23 (Primary), 11R42, 11R80 (Secondary) |
| url | https://arxiv.org/abs/2404.15078 |