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

Authors

  • Amara Chandoul UNB-Brasilia-Brasil
  • Fahad Aljuaydi Department of mathematics, College of Sciences and Humanities, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia.

DOI:

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

Keywords:

$\beta$-Continued fractions, Modidied Jacobi-Perron algorithm, convergence, formal power series.

Keywords:

$\beta$-Continued fractions, Modidied Jacobi-Perron algorithm, convergence, formal power series.

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.

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How to Cite

Chandoul, A., & Aljuaydi, F. (2019). Convergence of β-Modified Jacobi-Perron Algorithm over the Field of Formal Power Series. European Journal of Pure and Applied Mathematics, 12(2), 418–431. https://doi.org/10.29020/nybg.ejpam.v12i2.3391