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arXiv · 1512.00337

Absolutely abnormal, continued fraction normal numbers

Joseph Vandehey
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Abstract

In this short note, we give a proof, conditional on the Generalized Riemann Hypothesis, that there exist numbers x which are normal with respect to the continued fraction expansion but not to any base b expansion. This partially answers a question of Bugeaud.

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Joseph Vandehey. 2015-12-01. Absolutely abnormal, continued fraction normal numbers. https://arxiv.org/abs/1512.00337

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