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ABSOLUTELY ABNORMAL AND CONTINUED FRACTION NORMAL NUMBERS
Published online by Cambridge University Press: 16 March 2016
Abstract
In this short note, we give a proof, conditional on the generalised 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.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 94 , Issue 2 , October 2016 , pp. 217 - 223
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.
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