Quantizations of Continued Fractions

Published 6 Jul 2022 in math.NT and math.QA | (2207.02620v1)

Abstract: We introduce a four-parameter deformation of continued fractions, which we call $ U $-deformation. We study some particular cases and compare them with the q-deformation of continued fractions introduce recently by Morier-Genoud and Ovsienko.

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