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Some Aspects of Higher Continued Fractions

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arxiv 2401.12859 v1 pith:77J6HLHN submitted 2024-01-23 math.NT math.CO

Some Aspects of Higher Continued Fractions

classification math.NT math.CO
keywords continuedfractionshighersomeinvestigatemapsaspectsasymptotics
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We investigate some properties of the higher continued fractions defined recently by Musiker, Ovenhouse, Schiffler, and Zhang. We prove that the maps defining the higher continued fractions are increasing continuous functions on the positive real numbers. We also investigate some asymptotics of these maps.

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