On Weil Numbers in Cyclotomic Fields
Bruno Angles, Tatiana Beliaeva
Abstract
In this note, we investigate the p-adic behavior of Weil numbers in the cyclotomic Z\p-extension of Q(ζ\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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