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An Independent System of Units in Certain Algebraic Number Fields

Published online by Cambridge University Press:  20 November 2018

Claude Levesque*
Affiliation:
Université, Laval, Québec, Québec
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For Kn = Q(ω) a real algebraic number field of degree n over Q such that

with DN, dZ, d|D2, and D2 + 4d > 0, we proved in [5] (by using the approach of Halter-Koch and Stender [6]) that if

with

then

is an independent system of units of Kn.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1985

References

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