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On p-adic Artin L-functions

Published online by Cambridge University Press:  22 January 2016

Ralph Greenberg
Ralph Greenberg*
Affiliation:
Department of Mathematics, University of Washington Seattle, Washington 98195, USA
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In this paper we will discuss p-adic Artin L-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 the p-adic Artin conjecture.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 89 , March 1983 , pp. 77 - 87
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

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