We consider the continued fraction expansion of real numbers under the action of a nonuniform lattice in $\text {PSL}(2,{\mathbb R})$ and prove metric relations between the convergents and a natural geometric notion of good approximations.

中文翻译：

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关于良好的近似值和 BOWEN 系列扩展

我们考虑在非均匀格的作用下实数的连分数展开 $\text {PSL}(2,{\mathbb R})$ 并证明收敛和良好近似的自然几何概念之间的度量关系。