Convergence of β-Modified Jacobi-Perron Algorithm over the Field of Formal Power Series
-
Published:2019-04-29
Issue:2
Volume:12
Page:418-431
-
ISSN:1307-5543
-
Container-title:European Journal of Pure and Applied Mathematics
-
language:
-
Short-container-title:Eur. J. Pure Appl. Math.
Author:
Chandoul Amara,Aljuaydi Fahad
Abstract
The aim of this paper is to study multidimentional $\beta$-continued fraction algorithm over the field of formal power series. In the case of the Modified Jacobi-Perron algorithm, we prove that it converges.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science