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arXiv · 2210.09862

Continuants and convergence of certain continued fractions

Daniel Duverney·Iekata Shiokawa
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Abstract

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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Daniel Duverney, Iekata Shiokawa. 2022-10-18. Continuants and convergence of certain continued fractions. https://arxiv.org/abs/2210.09862

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