Czechoslovak Mathematical Journal, Vol. 72, No. 4, pp. 1157-1166, 2022
On the quasi-periodic $p$-adic Ruban continued fractions
Basma Ammous, Nour Ben Mahmoud, Mohamed Hbaib
Received October 28, 2021. Published online July 28, 2022.
Abstract: 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.
Keywords: continued fraction; $p$-adic number; transcendence; subspace theorem
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