Schanuel’s conjecture

Let x1,x2,,xn be complex numbersMathworldPlanetmathPlanetmath linearly independentMathworldPlanetmath over . Then the set


has transcendence degreeMathworldPlanetmath ( greater than or equal to n.

Though seemingly innocuous, a proof of Schanuel’s conjecture would prove hundreds of conjectures in transcendental numberMathworldPlanetmath .

Title Schanuel’s conjecture
Canonical name SchanuelsConjecture
Date of creation 2013-03-22 13:58:08
Last modified on 2013-03-22 13:58:08
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 11
Author mathcam (2727)
Entry type Conjecture
Classification msc 11F67
Synonym Schanuel conjectureMathworldPlanetmath
Related topic LindemannWeierstrassTheorem