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On p-adic L-functions and cyclotomic fields

Published online by Cambridge University Press:  22 January 2016

Ralph Greenberg
Ralph Greenberg*
Affiliation:
University of Maryland, Brandeis University
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Let p be a prime. If one adjoins to Q all pn-th roots of unity for n = 1, 2, 3, …, then the resulting field will contain a unique subfield Q∞ such that Q∞ is a Galois extension of Q with Gal the additive group of p-adic integers. We will denote Gal(Q∞/Q) by Γ.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 56 , January 1975 , pp. 61 - 77
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

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