Diophantine approximation on polynomial curves

作者:Schleischitz Johannes*
来源:Mathematical Proceedings of the Cambridge Philosophical Society, 2017, 163(3): 533-546.
DOI:10.1017/S030500411700010X

摘要

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.

  • 出版日期2017-11