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Diophantine approximation on polynomial curves

Published online by Cambridge University Press:  09 February 2017

JOHANNES SCHLEISCHITZ
JOHANNES SCHLEISCHITZ*
Affiliation:
University of Ottawa, Dept. of Mathematics and Statistics, 585 King Edward Ave Ottawa, ON K1N 6N5, Canada. e-mail: johannes.schleischitz@univie.ac.at
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Abstract

In 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 163 , Issue 3 , November 2017 , pp. 533 - 546
Copyright
Copyright © Cambridge Philosophical Society 2017 

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References

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