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.
On simultaneous ratio- nal approximation to a p-adic number and its integral powers, Proceedings of the Edinburgh Mathematical Society, 54, (2011), 599–612
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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.