TSTST 2020 Problem 7
- Answer
Find all nonconstant polynomials with complex coefficients for which all complex roots of the polynomials and have absolute value 1.
Dataset text NuminaMath olympiads. Quoted with source.
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P(x)=\lambda x^{n}-\mu \text{ where } |\lambda|=|\mu| \text{ and } \operatorname{Re} \mu=-\frac{1}{2}
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