On stammering p-adic Ruban continued fractions
We establish a new transcendence criterion of Ruban p-adic continued fractions and we prove that a p-adic number whose sequence of partial quotients is bounded in Qp and has a stammering continued fraction expansion is either quadratic or transcendental where p is a prime number.
Authors
- Mohamed Hbaib (ORCID: https://orcid.org/0000-0002-4331-0178)
- Khouloud Dammak (ORCID: https://orcid.org/0009-0003-0810-6774)
Institutions
- University of Sfax (TN)
Publication Details
- Journal
- Acta Universitatis Sapientiae Mathematica
- Published
- 2025-02-28
- DOI
- https://doi.org/10.47745/ausm-2024-0017
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00