Multidimensional Continued Fractions over the Field of Formal Power Series

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: H. Ben Amar
DOI: 10.5281/zenodo.18309869
Cited by: 0

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.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Algebraic Geometry and Number Theory Analytic Number Theory Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
20 January 2026
Language
EN