论文标题

某些持续分数的持续和收敛性

Continuants and convergence of certain continued fractions

论文作者

Duverney, Daniel, Shiokawa, Iekata

论文摘要

我们简要介绍了连续性理论,并展示了Perron在Tietze定理的无限半规则持续分数以及研究纯粹的周期性持续分数的研究中如何使用它们。

We give a concise introduction to the theory of continuants and show how Perron used them in his proof of Tietze theorem on the convergence of infinite semi-regular continued fractions, as well as for the study of the convergence of purely periodic continued fractions.

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