Convergence of beta-Modified Jacobi-Perron algorithm over the field of formal power series

Amara Chandoul; Fahad Aljuaydi

doi:10.29020/nybg.ejpam.v12i2.3391

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Convergence of beta-Modified Jacobi-Perron algorithm over the field of formal power series

Journal article

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Convergence of beta-Modified Jacobi-Perron algorithm over the field of formal power series

Amara Chandoul and Fahad Aljuaydi

European journal of pure and applied mathematics, Vol.12(2), pp.418-431

01/01/2019

DOI: https://doi.org/10.29020/nybg.ejpam.v12i2.3391

Abstract

Mathematics

Physical Sciences

Science & Technology

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.

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Title: Convergence of beta-Modified Jacobi-Perron algorithm over the field of formal power series
Creators - without role: Amara Chandoul - Universidade de Brasília
Fahad Aljuaydi - Prince Sattam Bin Abdulaziz University
Publication Details: European journal of pure and applied mathematics, Vol.12(2), pp.418-431
Publisher: EUROPEAN JOURNAL PURE & APPLIED MATHEMATICS
Number of pages: 14
Identifiers: 9925974908331
Academic Unit: Prince Sattam Bin Abdulaziz University
Language: English
Resource Type: Journal article