Is e^pi Rational? - Research Progress

[Aditya89]

Is e^pi rational? I seem to have heard from one of my tacher that research was going. How far we have gone?

 

[devious_]

It's transcendental. This can be proved using Gelfond's theorem.

 

[jim mcnamara]

Since you seem to be going in this direction, you might like Euler's formula
which relates 0, e, pi, i

http://mathworld.wolfram.com/EulerFormula.html

 

[devious_]

From the link jim posted:
"Gauss is reported to have commented that if [e^{i \pi} + 1 = 0] was not immediately obvious, the reader would never be a first-class mathematician."

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