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| ``Re: Proof''
by pahio on 2007-12-28 15:57:05 |
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| Roger, you and cam are partially right -- maybe it were better to not speak of _real_ coefficients a_j, since the theorem is true without making this restrictive presumption. Essential is that P(x) is irreductible, i.e. irreductible in the field
Q(a_1, ..., a_n)
of its coefficients (this practice in using the concept "irreductible" is normal in algebra and algebraic number theory). Of course, the theorem if more concrete when the a_j's are are real.
Jussi |
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