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

Amara Chandoul, Fahad Aljuaydi

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.

Keywords

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

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