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Convergence of β-Modified Jacobi-Perron Algorithm over the Field of Formal Power Series

Authors :
Amara Chandoul
Fahad Aljuaydi
Source :
European Journal of Pure and Applied Mathematics. 12:418-431
Publication Year :
2019
Publisher :
New York Business Global LLC, 2019.

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.

Details

ISSN :
13075543
Volume :
12
Database :
OpenAIRE
Journal :
European Journal of Pure and Applied Mathematics
Accession number :
edsair.doi...........06e66b18f2af822b62633721332b727c