Work

Multidimensional Continued Fractions over the Field of Formal Power Series

Year: 2026

Type: article

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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.18309869

Author: Amar, Hela Ben

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7124879631

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