# Journal of the Ramanujan Mathematical Society

Volume 38, Issue 1, March 2023 pp. 97–106.

On the transcendance of Palindromic Rosen continued fractions with subspace theorem

**Authors**:
Manel Jellali and Yosra Besbes

**Author institution:**
Mathematics Department, Faculty of Sciences of Sfax, University of Sfax

**Summary: **
In this paper, we consider the Hecke groups G{p} generated by the matrices
(1 λ {p} 0 1 ) and (0 -1 1 0),
where λ{p}=2cos (π/p) with p≥3. Then we establish a transcendence
criterion of certain palindromic Rosen continued fractions using the Subspace theorem.

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