$q$-DEFORMED RATIONALS AND $q$-CONTINUED FRACTIONS

We introduce a notion of $q$-deformed rational numbers and $q$-deformed continued fractions. A $q$-deformed rational is encoded by a triangulation of a polygon and can be computed recursively. The recursive formula is analogous to the $q$-deformed Pascal identity for the Gaussian binomial coefficien...

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Bibliographic Details
Main Authors: SOPHIE MORIER-GENOUD, VALENTIN OVSIENKO
Format: Article
Language:English
Published: Cambridge University Press 2020-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509420000092/type/journal_article