Multiplicative relations with conjugate algebraic numbers

• Published in: Український математичний журнал
• Date: 2007
• Main Author: Dubickas, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164212
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Multiplicative relations with conjugate algebraic numbers / A. Dubickas // Український математичний журнал. — 2007. — Т. 59, № 7. — С. 890–900. — Бібліогр.: 20 назв. — англ.

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