p-adic multidimensional continued fractions in dimension two yield simultaneous approximations whose quality is quantified and that preserve algebraic dependence for certain linearly dependent inputs.
W., The algebraic independence of certain Liou ville continued fractions, Proceedings of the American Mathematical Society, 95, (198 5), 512–516
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Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions
p-adic multidimensional continued fractions in dimension two yield simultaneous approximations whose quality is quantified and that preserve algebraic dependence for certain linearly dependent inputs.