On the Irrationality and Transcendence of Rational Powers of e

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] Text
449-Article Text-829-1-10-20220929.pdf - Published Version

Download (147kB)

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

Actions (login required)

View Item
View Item