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arXiv:2210.09862 [math.NT]AbstractReferencesReviewsResources

Continuants and convergence of certain continued fractions

Daniel Duverney, Iekata Shiokawa

Published 2022-10-18Version 1

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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