Erdős problem 1040 · problems.science

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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Problem row: sha256:9d384ceeb552e96482a44145c46c79226cdb16e7a1ae6f3ce27dd1bf2fef40bc
Metadata: sha256:abac3b36911bbd5dcffe83a531d2882418fd928ede21c58d38b2dac1fcc43b59
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:332c7f41adf616f262f0dc16d7c0ed6cd4df4ca38067be24e6027126b1fee55d

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207

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