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On the units of algebraic number fields

Published online by Cambridge University Press:  26 February 2010

Armand Brumer
Armand Brumer
Affiliation:
Department of Mathematics, Columbia University, New York, U.S.A.
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Extract

Let p be a prime number, Qp the field of p-adic numbers and Ωp the completion of the algebraic closure of Qp with its valuation normed by setting |p| = 1/p. We shall designate by log the p-adic logarithm defined by the usual series

Type
Research Article
Information
Mathematika , Volume 14 , Issue 2 , December 1967 , pp. 121 - 124
Copyright
Copyright © University College London 1967

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References

1.James, Ax, “On the units of an algebraic number field”, Illinois J. Math., 9 (1965), 584–589.Google Scholar
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