Convergence of \(\beta\)-modified Jacobi-Perron algorithm over the field of formal power series. (English) Zbl 1424.40014
Summary: The aim of this paper is to study multidimensional \(\beta\)-continued fraction algorithm over the field of formal power series. In the case of the modified Jacobi-Perron algorithm, we prove that it converges.
MSC:
| 40A15 | Convergence and divergence of continued fractions |
Keywords:
\(\beta\)-continued fractions; modified Jacobi-Perron algorithm; convergence; formal power seriesReferences:
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