2023/08/03 by Ofir David, David, Ofir
Mathematics · #11J70 #11J72 #40A15 #Advanced Mathematical Identities #Dynamical Systems (math.DS) #FOS: Mathematics #History and Theory of Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2308.02567
openalex publication_date 2023/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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