Abstract
AbstractIn a paper from 2010, Budarina, Dickinson and Levesley studied the rational approximation properties of curves parametrised by polynomials with integral coefficients in Euclidean space of arbitrary dimension. Assuming the dimension is at least three and excluding the case of linear dependence of the polynomials together with P(X) ≡ 1 over the rational number field, we establish proper generalisations of their main result.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. Simultaneous p-adic Diophantine approximation;Mathematical Proceedings of the Cambridge Philosophical Society;2023-01-31
2. Rational approximation to surfaces defined by polynomials in one variable;Acta Mathematica Hungarica;2018-05-25