论文标题

关于同时近似与三个实数的几何形状

On geometry of simultaneous approximation to three real numbers

论文作者

Marnat, Antoine, Moshchevitin, Nikolay

论文摘要

考虑到三个数字的同时近似,我们研究了最佳近似序列的几何形状。我们为二芬太汀近似的普通指数和均匀指数之间的比率提供了更清晰的下限,从该几何形状方面最佳。

Considering simultaneous approximation to three numbers, we study the geometry of the sequence of best approximations. We provide a sharper lower bound for the ratio between ordinary and uniform exponent of Diophantine approximation, optimal in terms of this geometry.

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