Convergence of β-modified Jacobi-Perron algorithm over the field of formal power series

Amara Chandoul; Fahad Aljuaydi

doi:10.29020/nybg.ejpam.v12i2.3391

Convergence of β-modified Jacobi-Perron algorithm over the field of formal power series

Amara Chandoul, Fahad Aljuaydi

Mathematics

Universidade de Brasília

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this paper is to study multidimentional β-continued fraction algorithm over the field of formal power series. In the case of the Modified Jacobi-Perron algorithm, we prove that it converges.

Original language	English
Pages (from-to)	418-431
Number of pages	14
Journal	European Journal of Pure and Applied Mathematics
Volume	12
Issue number	2
DOIs	https://doi.org/10.29020/nybg.ejpam.v12i2.3391
State	Published - 2019

Keywords

Convergence
Formal power series
Modidied Jacobi-Perron algorithm
β-Continued fractions

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title = "Convergence of β-modified Jacobi-Perron algorithm over the field of formal power series",

abstract = "The aim of this paper is to study multidimentional β-continued fraction algorithm over the field of formal power series. In the case of the Modified Jacobi-Perron algorithm, we prove that it converges.",

keywords = "Convergence, Formal power series, Modidied Jacobi-Perron algorithm, β-Continued fractions",

author = "Amara Chandoul and Fahad Aljuaydi",

year = "2019",

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AU - Chandoul, Amara

AU - Aljuaydi, Fahad

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N2 - The aim of this paper is to study multidimentional β-continued fraction algorithm over the field of formal power series. In the case of the Modified Jacobi-Perron algorithm, we prove that it converges.

AB - The aim of this paper is to study multidimentional β-continued fraction algorithm over the field of formal power series. In the case of the Modified Jacobi-Perron algorithm, we prove that it converges.

KW - Convergence

KW - Formal power series

KW - Modidied Jacobi-Perron algorithm

KW - β-Continued fractions

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JO - European Journal of Pure and Applied Mathematics

JF - European Journal of Pure and Applied Mathematics

IS - 2

ER -

Convergence of β-modified Jacobi-Perron algorithm over the field of formal power series

Abstract

Keywords

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