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arXiv · 2609.16362

Simultaneously small continued fraction entropy and base $b$ entropy

Faruk Temur
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Abstract

We construct a computable irrational number that simultaneously has small continued fraction entropy and base $b$ entropy for every integer base $b\geq 2.$ This addresses a question raised by Bugeaud.

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Faruk Temur. 2026-09-14. Simultaneously small continued fraction entropy and base $b$ entropy. https://arxiv.org/abs/2609.16362

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