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Erdős problem 115

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If p(z)p(z) is a polynomial of degree nn such that {z:∣p(z)∣≤1}\{z : \lvert p(z)\rvert\leq 1\} is connected then is it true that max⁡z∈C∣p(z)∣≤1∣p′(z)∣≤(12+o(1))n2?\max_{\substack{z\in\mathbb{C}\\ \lvert p(z)\rvert\leq 1}} \lvert p'(z)\rvert \leq (\tfrac{1}{2}+o(1))n^2?

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  2. StatementRetained
  3. Formal1 retained
  4. Resolutionproved (Lean)
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  7. The questionNot reached
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