论文标题
在差不多的数字上
On badly approximable numbers
论文作者
论文摘要
由Ngoc Ai van Nguyen,AnthonyPoëls和Damien Roy的精彩论文的激励,在那里引入了强大的方法,我们证明了vector $ \pmbα\ in \ Mathbb {r}^d $的标准,这是一个非常近似的矢量。此外,我们构建了某些示例,这些示例表明我们标准的更通用版本无效。
Motivated by a wonderful paper by Ngoc Ai Van Nguyen, Anthony Poëls and Damien Roy, where a powerful method was introduced, we prove a criterion for a vector $\pmbα\in \mathbb{R}^d$ to be a badly approximable vector. Moreover we construct certain examples which show that a more general version of our criterion is not valid.