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A doubt

  1. Jan 10, 2006 #1
    Is e^pi rational? I seem to have heard from one of my tacher that research was going. How far we have gone?
  2. jcsd
  3. Jan 10, 2006 #2
    It's transcendental. This can be proved using Gelfond's theorem.
  4. Jan 10, 2006 #3

    jim mcnamara

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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

  5. Jan 10, 2006 #4
    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."

    ... :bugeye:
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