Fractional parts of powers of real algebraic numbers
Let $\alpha $ be a real algebraic number greater than $1$. We establish an effective lower bound for the distance between an integral power of $\alpha $ and its nearest integer.
| Published in: | Comptes Rendus. Mathématique |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2022-05-01
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| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.314/ |