Conjecture Fieldbook

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Sendov's conjecture

Source placement record

Sendov's conjecture: if a complex polynomial with degree at least 2 {\displaystyle 2} {\displaystyle 2} has all roots in the closed unit disk, then each root is within distance 1 {\displaystyle 1} {\displaystyle 1} from some critical point.

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Source status
Open
Field
Analysis
Record type
Revision-pinned source placement
Verification
Source-index reviewed
Source grade
secondary
Reviewed
2026-07-27T18:04:33.834Z

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Source trail

  1. Wikipedia list subsection — Exact Analysis subsection in the revision-pinned source.
  2. Wikipedia topic article — Background article linked by the source index; follow its references for deeper study.
  3. Pinned source revision 1366281547 — Revision-pinned snapshot from 7/27/2026.