The Diophantine Exponent of Algebraic Numbers for β-Expansions with a Negative Base
Abstract: The aim of this paper is to prove that the Diophantine exponent is bounded by , where is an algebraic number, and is the Mahler measure of . In addition, a new result will be founded about transcendental number when is infinite.
Authors
- Mohamed Hbaib (ORCID: https://orcid.org/0000-0002-4331-0178)
- Osama A. B. Shafah
- Asmaa Omar Mubayrash
Institutions
- University of Sfax (TN)
- Misurata University (LY)
- Libyan Academy (LY)
Publication Details
- Journal
- International Journal of Latest Technology in Engineering Management & Applied Science
- Published
- 2025-09-27
- DOI
- https://doi.org/10.51583/ijltemas.2025.1409000009
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00