Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Orateur(s) C. Smyth - ,
Titre A variation on the theme of Hilbert's Theorem 90
Date02/04/2001
Horaire14:00 à 16:00
RésumeHilbert's Theorem 90 gives a condition for an algebraic number\beta in a number field k to be a quotient $alpha/\alpha' ofconjugate algebraic numbers, for \alpha in a cyclic extensionL of k.In joint work with A. Dubickas, we find a simple necessary andsufficient condition for \beta\in k to be equal to\alpha/\alpha', where now $\alpha$ is unrestricted.Just as Hilbert's Theorem 90 has an additive version, so ourresult too has an additive analogue.
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