For a closed infinite set $F \subseteq \mathbb{C}$, let $\mu(F)$ be the infimum of $|\{z : |f(z)| < 1\}|$ over monic polynomials with zeros in $F$. Is $\mu(F)$ determined only by the transfinite diameter of $F$?

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• AI standalone

  Erdős AI contributions wiki · 1 Feb, 2026

  Machine

  Aletheia

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• construction

  VibeMathed

  Machine

  Aletheia (Gemini Deep Think)

  Reported outcome

  partial

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