Some Aspects of Higher Continued Fractions
Number Theory
2024-02-01 v1 Combinatorics
Abstract
We investigate some properties of the higher continued fractions defined recently by Musiker, Ovenhouse, Schiffler, and Zhang. We prove that the maps defining the higher continued fractions are increasing continuous functions on the positive real numbers. We also investigate some asymptotics of these maps.
Keywords
Cite
@article{arxiv.2401.12859,
title = {Some Aspects of Higher Continued Fractions},
author = {Etan Basser and Nicholas Ovenhouse and Anuj Sakarda},
journal= {arXiv preprint arXiv:2401.12859},
year = {2024}
}