Geodesic
On the quasi-periodic $p$-adic Ruban continued fractions
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1157-1166
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We study a family of quasi periodic $p$-adic Ruban continued fractions in the $p$-adic field $\mathbb {Q}_p$ and we give a criterion of a quadratic or transcendental $p$-adic number which based on the $p$-adic version of the subspace theorem due to Schlickewei.
We study a family of quasi periodic $p$-adic Ruban continued fractions in the $p$-adic field $\mathbb {Q}_p$ and we give a criterion of a quadratic or transcendental $p$-adic number which based on the $p$-adic version of the subspace theorem due to Schlickewei.
DOI : 10.21136/CMJ.2022.0409-21
Classification : 11A55, 11D88, 11J81
Keywords: continued fraction; $p$-adic number; transcendence; subspace theorem 
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Ammous, Basma; Ben Mahmoud, Nour; Hbaib, Mohamed. On the quasi-periodic $p$-adic Ruban continued fractions. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1157-1166. doi: 10.21136/CMJ.2022.0409-21

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