Aditya89
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Is e^pi rational? I seem to have heard from one of my tacher that research was going. How far we have gone?
Is e^pi Rational? - Research Progress
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devious_
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It's transcendental. This can be proved using Gelfond's theorem.
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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
which relates 0, e, pi, i
http://mathworld.wolfram.com/EulerFormula.html
devious_
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From the link jim posted:
"Gauss is reported to have commented that if [[itex]e^{i \pi} + 1 = 0[/itex]] was not immediately obvious, the reader would never be a first-class mathematician."
...
"Gauss is reported to have commented that if [[itex]e^{i \pi} + 1 = 0[/itex]] was not immediately obvious, the reader would never be a first-class mathematician."
...