The Critical Values of a Polynomial |
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| Authors: | Beardon Carne and Ng |
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| Institution: | (1) Centre for Mathematical Sciences Wilberforce Road Cambridge CB3 0WB England afb@dpmms.cam.ac.uk, UK;(2) Centre for Mathematical Sciences Wilberforce Road Cambridge CB3 0WB England tkc@dpmms.cam.ac.uk, UK;(3) Department of Mathematics The University of Hong Kong Pokfulam Road Hong Kong ntw@maths.hku.hk, HK |
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| Abstract: | It has been known for a long time that any real sequence y
1
, . . . ,y
n-1
is the sequence of critical values of some real polynomial. Here we show that any complex sequence w
1
, . . . ,w
n-1
is the sequence of critical values of some complex polynomial. |
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| Keywords: | , Polynomials, Critical values, AMS Classification, Primary, 30C10, Secondary, 30C15, |
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