Diophantine approximation on polynomial curves

Author:

SCHLEISCHITZ JOHANNES

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)

Subject

General Mathematics

Reference11 articles.

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2. Diophantine approximation on planar curves and the distribution of rational points (with an Appendix by R. C. Vaughan)

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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

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