Multiplicative relations with conjugate algebraic numbers
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...
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| Datum: | 2007 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2007
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| Schriftenreihe: | Український математичний журнал |
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/164212 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Multiplicative relations with conjugate algebraic numbers / A. Dubickas // Український математичний журнал. — 2007. — Т. 59, № 7. — С. 890–900. — Бібліогр.: 20 назв. — англ. |