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zero. This can be done by employing [Liouville's Theorem]? which states that a bounded function which is holomorphic? in the entire complex plane must be constant. By starting with a polynomial p without any zeros, one can pass to the holomorphic function 1/p and Liouville's theorem then yields that 1/p and therefore also p are constant. |
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zero. This can be done by employing [Liouville's theorem]? which states that a bounded function which is holomorphic in the entire complex plane must be constant. By starting with a polynomial p without any zeros, one can pass to the holomorphic function 1/p and Liouville's theorem then yields that 1/p and therefore also p are constant. |
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