On the transcendance of quasi-periodic Rosen continued fractions

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2024年10月12日

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Yosra Besbes,
Mohamed Hbaib,
Manel Jellali

摘要

In this paper, we consider the two Hecke groups $G_{4}$ $G_{4}$ and $G_{6}$ $G_{6}$ and we use the Schmidt Subspace Theorem to establish the transcendence of some quasi-periodic Rosen continued fractions in order to get the exact analogues of the results established with the regular continued fractions.