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Keywords:
continued fraction; $p$-adic number; transcendence; subspace theorem
continued fraction; $p$-adic number; transcendence; subspace theorem
Summary:
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.
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