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Erdős problem 1043

Erdős Problem 1043: Let f∈C[x]f\in \mathbb{C}[x] be a monic polynomial. Must there exist a straight line ℓ\ell such that the projection of {z:∣f(z)∣≤1}\{ z: \lvert f(z)\rvert\leq 1\} onto ℓ\ell has measure at most 22?

How the state got here

1 of 6 recorded
  1. Prior stateNone retained
  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingA Result stands here
  6. Next gapNot recorded

Result history

Published changes, performers, checks, and later corrections.

No result history yet
No proposed change is retained for this Problem, so there is nothing to show a decision on.

Correction history

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:d0a3c9ad2c6e8f7efec82634179651a5e621af1fb50bac5b87e4e6c7f22e2d44
Metadata
sha256:c8bef0104b82403d58a6c2d7b66fb34f54651cf343baef2839ba8c07a6f149a3
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:720b570926c18dcd39a95c2ab851d4fcc7aecec7bc821936a1ea72b7b19d7bd7
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb