Erdős problem 115 · problems.science

If $p(z)$ is a polynomial of degree $n$ such that $\{z : \lvert p(z)\rvert\leq 1\}$ is connected then is it true that $\max_{\substack{z\in\mathbb{C}\\ \lvert p(z)\rvert\leq 1}} \lvert p'(z)\rvert \leq (\tfrac{1}{2}+o(1))n^2?$

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Erdős AI contributions wiki · 3 Mar, 2026
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Aristotle, Claude Opus 4.6, Claude Sonnet 4.6, Gemini 3 Flash, Gemini 3.1 Pro, ulam.ai scaffold with Gemini 3 Flash and Gemini 3.1 Pro
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