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Simultaneously small continued fraction entropy and base b entropy
Abstract
We construct a computable irrational number that simultaneously has small continued fraction entropy and base b entropy for every integer base b≥ 2. This addresses a question raised by Bugeaud.
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BibTeX
@misc{temur2026simultaneously,
title = {{Simultaneously small continued fraction entropy and base $b$ entropy}},
author = {Faruk Temur},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16362},
eprint = {2609.16362},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16362},
}
RIS
TY - UNPB
TI - Simultaneously small continued fraction entropy and base b entropy
AU - Faruk Temur
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.16362
UR - https://arxiv.org/abs/2609.16362
AB - We construct a computable irrational number that simultaneously has small continued fraction entropy and base b entropy for every integer base b≥ 2. This addresses a question raised by Bugeaud.
ER -