Multiplicative relations with conjugate algebraic numbers

We study what algebraic numbers can be represented by a product of algebraic numbers conjugate over a fixed number field K in fixed integer powers. The problem is nontrivial if the sum of these integer powers is equal to zero. The norm of such a number over K must be a root of unity. We show that th...

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Bibliographic Details
Date:2007
Main Authors: Dubickas, A., Дубікас, А.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3354
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal