Gelfond's constant
id:
gelfond-s-constant-203-11318507
title:
Gelfond's constant
text:
In mathematics, Gelfond's constant, named after Aleksandr Gelfond, is eπ, that is, e raised to the power π. Like both e and π, this constant is both irrational and transcendental. This was first established by Gelfond and may now be considered as an application of the Gelfond–Schneider theorem, noting that e π = − i = − i, where i is the imaginary unit. Since −i is algebraic but not rational, eπ is transcendental. The constant was mentioned in Hilbert's seventh problem. A related constant is 2√2
brand slug:
wiki
category slug:
encyclopedia
description:
E to the power of π
original url:
https://en.wikipedia.org/wiki/Gelfond%27s_constant
date created:
2005-06-03T19:54:41Z
date modified:
2024-09-09T19:39:23Z
main entity:
{"identifier":"Q306375","url":"https://www.wikidata.org/entity/Q306375"}
image:
fields total:
13
integrity:
15