Absolutely abnormal, continued fraction normal numbers
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🧮 math.NT
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continuedexpansionfractionnormalnumbersabnormalabsolutelyanswers
read the original 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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