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.
G., Periodic karyon expansions of cubic ir rationals in continued fractions, Proceedings of the Steklov Institute of Mathematics, 296, ( 2017), 36–60
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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.