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On the quasi-periodic $p$ -adic Ruban continued fractions

Basma Ammous; Nour Ben Mahmoud; Mohamed Hbaib — 2022

Czechoslovak Mathematical Journal

We study a family of quasi periodic $p$ -adic Ruban continued fractions in the $p$ -adic field $ℚ_{p}$ 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.

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On the quasi-periodic p -adic Ruban continued fractions

On the quasi-periodic $p$ -adic Ruban continued fractions