Continuants and convergence of certain continued fractions
Number Theory
2022-10-19 v1
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.
Cite
@article{arxiv.2210.09862,
title = {Continuants and convergence of certain continued fractions},
author = {Daniel Duverney and Iekata Shiokawa},
journal= {arXiv preprint arXiv:2210.09862},
year = {2022}
}
Comments
11 pages