doi: 10.17706/ijapm.2020.10.1.49-56
Strong Transcendental Numbers and Linear Independence
Mangatiana A. Robdera
- Department of Mathematics, University of Botswana, 4775 Notwane Road, Gaborone, Botswana
Abstract
Notions of strong and weak transcendental numbers are introduced. Consequently, proofs of several longstanding conjectures about the transcendence of the numbers such as
Keywords
- Algebraic
- irrational
- transcendental numbers
- Gel’fond-Schneider theorem
- Hermite-Lindemann theorem
- Baker's theorem
- algebraic independence
How to Cite
Mangatiana A. Robdera, "Strong Transcendental Numbers and Linear Independence," International Journal of Applied Physics and Mathematics, vol. 10, no. 1, pp. 49-56, 2020. https://doi.org/ 10.17706/ijapm.2020.10.1.49-56
Copyright & License
Copyright © 2020 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).