On Transcendental Numbers: New Results and a Little History
Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, Romania
Romanian Academy, 125 Calea Victoriei Street, 010071 Bucharest, Romania
Author to whom correspondence should be addressed.
This article is dedicated to the memory of my friend and esteemed colleague, Professor Solomon Marcus, who passed away on 17 March 2016. His enthusiasm and optimism will be sadly missed.
Received: 19 January 2018 / Revised: 1 February 2018 / Accepted: 20 February 2018 / Published: 1 March 2018
PDF [220 KB, uploaded 1 March 2018]
Bringing toghether mathematical and philosophical ideas related to transcendental numbers, this paper begins with a survey on transcendence and transcendental numbers, it then presents several properties of the transcendental numbers e
, and then it gives the proof of a new inequality for transcendental numbers. Also, in relationship with these topics, we study solutions to the Yang-Baxter equation from hyperbolic functions and from logical implication.
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).
Share & Cite This Article
MDPI and ACS Style
Marcus, S.; Nichita, F.F. On Transcendental Numbers: New Results and a Little History. Axioms 2018, 7, 15.
Marcus S, Nichita FF. On Transcendental Numbers: New Results and a Little History. Axioms. 2018; 7(1):15.
Marcus, Solomon; Nichita, Florin F. 2018. "On Transcendental Numbers: New Results and a Little History." Axioms 7, no. 1: 15.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
For more information on the journal statistics, click here
Multiple requests from the same IP address are counted as one view.