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Erdős problem 1040

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

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Problem row
sha256:9d384ceeb552e96482a44145c46c79226cdb16e7a1ae6f3ce27dd1bf2fef40bc
Metadata
sha256:abac3b36911bbd5dcffe83a531d2882418fd928ede21c58d38b2dac1fcc43b59
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:332c7f41adf616f262f0dc16d7c0ed6cd4df4ca38067be24e6027126b1fee55d
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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