On Weil Numbers in Cyclotomic Fields

Details On Weil Numbers in Cyclotomic Fields On Weil Numbers in Cyclotomic Fields

2006-06-14

arxiv.org/abs/math/0606332v1

Mathematics

Number Theory

Scientific paper

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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