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arXiv · 2504.10787

Greedy Beta-expansions for families of Salem numbers

Kevin G. Hare·Liam Orovec
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Abstract

We give criteria for finding the greedy $\beta$-expansion for $1$ for families of Salem numbers that approach a given Pisot number. We show that these expansions are related to the greedy expansion under the Pisot base. This expands on the work of Hare and Tweedle.

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Kevin G. Hare, Liam Orovec. 2025-04-15. Greedy Beta-expansions for families of Salem numbers. https://arxiv.org/abs/2504.10787

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