Multidimensional Continued Fractions over the Field of Formal Power Series

We study multidimensional continued fraction algorithms over the field of formal power series. In this case, we prove that the simultaneous diophantine properties of the algorithms is stronger than in the real case.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-20
DOI
https://doi.org/10.5281/zenodo.18309870
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Multidimensional Continued Fractions over the Field of Formal Power Series

H. Ben Amar
Zenodo (CERN European Organization for Nuclear Research)
semigroups and automata theory
article

Multidimensional Continued Fractions over the Field of Formal Power Series

H. Ben Amar
article en

Abstract

We study multidimensional continued fraction algorithms over the field of formal power series. In this case, we prove that the simultaneous diophantine properties of the algorithms is stronger than in the real case.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 81%
semigroups and automata theory
DOIOpen Access PDFOpenAlex
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Multidimensional Continued Fractions over the Field of Formal Power Series — H. Ben Amar · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS