论文标题
改善了IFS分形上双苯胺近似值的收敛案例
An Improved Convergence Case for Diophantine Approximations on IFS Fractals
论文作者
论文摘要
本文的目的是（部分）解决与Khintchine定理有关IFS分形的类似物的问题。我们研究了双苯胺近似值的收敛案例，并显示出更高尺寸的结果。 Pollington和Velani先前在Arxiv中研究了此问题：Math/0401149。 Pollington和Velani显示了与本文（Khinchine Convergence案例）相似的结果，我们将展示我们的结果如何改善较高的维度。
The objective of this paper is to (partially) address the issue of finding an analogue to Khintchine's theorem for IFS Fractals. We study the convergence case for Diophantine approximations, and show an improved result for higher dimensions. This matter has been previously studied by Pollington and Velani in arXiv:math/0401149. Pollington and Velani show a similar result to the one in this paper (a Khinchine convergence case) and we shall show how our result is an improvement in the higher dimensional cases.
