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The Transcendence of e
| Title: | The Transcendence of e |
| Author: | Manuel Eberl |
| Submission date: | 2017-01-12 |
| Abstract: |
This work contains a proof that Euler's number e is transcendental. The proof follows the standard approach of assuming that e is algebraic and then using a specific integer polynomial to derive two inconsistent bounds, leading to a contradiction. This kind of approach can be found in many different sources; this formalisation mostly follows a PlanetMath article by Roger Lipsett. |
| BibTeX: |
@article{E_Transcendental-AFP,
author = {Manuel Eberl},
title = {The Transcendence of e},
journal = {Archive of Formal Proofs},
month = jan,
year = 2017,
note = {\url{http://isa-afp.org/entries/E_Transcendental.html},
Formal proof development},
ISSN = {2150-914x},
}
|
| License: | BSD License |
| Used by: | Pi_Transcendental, Zeta_3_Irrational |
| Status: [ok] | This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations. |
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