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.
Categories: math.NT
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