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Integer parts of powers of Pisot and Salem numbers |
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| Authors: | A Dubickas |
| Institution: | 1.Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, 2600 Vilnius, Lithuania,LT |
| Abstract: | Let a \alpha be a Salem number or a Pisot number. We prove that integer parts of its powers an] \alpha^n] are composite for infinitely many integers n. |
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