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., Formulas for some Diophantine approxima tion constants II, Acta Arithmetica, 26, (1974), 117–128
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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.