Problem

erdos:1040

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 $F$ ?

Open Current State

Declared status: open
Formalization: not formalized
Subjects: analysis
OEIS: N/A
Sources: source:erdos-ai-contributions-wikisource:erdos-problemssource:vibemathed
Statement: www.erdosproblems.com

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