论文标题
螺线管中对角线近似的近似值点
Badly approximable points for diagonal approximation in solenoids
论文作者
论文摘要
在本文中，我们研究了有限尺寸P-ADIC电磁阀如何通过理性近似的问题。我们使用的设置以前是由Palmer研究的，Palmer证明了Dirichlet定理和Duffin-Schaeffer定理的类似物。我们证明了一个互补的结果，表明一组不良的点具有最大的Hausdorff维度。我们的证明是施密特游戏优雅机械的简单应用。
In this paper we investigate the problem of how well points in finite dimensional p-adic solenoids can be approximated by rationals. The setting we work in was previously studied by Palmer, who proved analogues of Dirichlet's theorem and the Duffin-Schaeffer theorem. We prove a complementary result, showing that the set of badly approximable points has maximum Hausdorff dimension. Our proof is a simple application of the elegant machinery of Schmidt's game.
