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Erdős problem 1048

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If f∈C[x]f\in \mathbb{C}[x] is a monic polynomial with all roots satisfying ∣z∣≤r\lvert z\rvert \leq r for some r<2r<2, then must {z:∣f(z)∣<1}\{ z: \lvert f(z)\rvert <1\} have a connected component with diameter >2−r>2-r?

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  4. DecisionNo Repository has decided
  5. StandingA Result stands here
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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:17d642ad1b4a270fc6067b390c5b3b3c597368da3eb47d1100654929580739e5
Metadata
sha256:5362ea98a9a8dbbbf3c4e025565c1dd97fb3aac8e0fd83d7e397bc296e0956f4
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:aba00cabdb61db65cbcf10bda15d8a0e20624bd1ccb9f047d4c0e06bad3a5f43
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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