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arXiv:math/0606332 [math.NT]AbstractReferencesReviewsResources

On Weil Numbers in Cyclotomic Fields

Bruno Angles, Tatiana Beliaeva

Published 2006-06-14Version 1

In this note, we investigate the p-adic behavior of Weil numbers in the cyclotomic $\mathbb Z\_p$-extension of $\mathbb Q(\zeta\_p).$ We determlne the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in Iwasawa Theory.

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