Ghosh, Sourangshu (2021) On the Irrationality and Transcendence of Rational Powers of e. Asian Research Journal of Mathematics, 17 (2). pp. 102-110. ISSN 2456-477X
![[thumbnail of 449-Article Text-829-1-10-20220929.pdf]](http://repository.journal4submission.com/style/images/fileicons/text.png)
449-Article Text-829-1-10-20220929.pdf - Published Version
Download (147kB)
Official URL: https://doi.org/10.9734/arjom/2021/v17i230277
Abstract
A number that can’t be expressed as the ratio of two integers is called an irrational number. Euler and Lambert were the first mathematicians to prove the irrationality and transcendence of e. Since then there have been many other proofs of irrationality and transcendence of e and generalizations of that proof to rational powers of e. In this article we review various proofs of irrationality and transcendence of rational powers of e founded by mathematicians over the time.
Item Type: | Article |
---|---|
Subjects: | Journal Eprints > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 19 Apr 2023 04:54 |
Last Modified: | 19 Mar 2024 03:45 |
URI: | http://repository.journal4submission.com/id/eprint/1584 |