Abstract
In this paper we will discussp-adic ArtinL-functions. The existence of these functions is a simple consequence of a theorem of Deligne and Ribet [4]. One can formulate a “p-adic Artin conjecture” for these functions. Our primary purpose here is to relate this conjecture to the “main conjecture” discussed by Coates in [3]. We will describe the precise formulations of these conjectures that we will use later. Our main result will be that in fact the main conjecture implies thep-adic Artin conjecture.
Publisher
Cambridge University Press (CUP)
Reference11 articles.
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