On Euler polynomial continued fractions
Dynamical Systems
2023-12-04 v2 Number Theory
Abstract
In this paper, we introduce the polynomial continued fraction, a close relative of the well-known simple continued fraction expansions which are widely used in number theory and in general. While they may not possess all the intriguing properties of simple continued fractions, polynomial continued fractions have many interesting patterns which can be exploited. Specifically, we explore the Euler continued fractions within this framework and present an algorithm for their identification
Keywords
Cite
@article{arxiv.2308.02567,
title = {On Euler polynomial continued fractions},
author = {Ofir David},
journal= {arXiv preprint arXiv:2308.02567},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2303.09318