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.
C., Hill, M., The quality of the Diophantin e approximations found by the Jacobi–Perron algorithm and related algortihms, Mh
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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.