Erdős problem 1041
Erdős–Herzog–Piranian Component Lemma (Metric Properties of Polynomials, 1958): If is a monic degree polynomial with all roots in the unit disk, then some connected component of contains at least two roots with multiplicity.
Erdős Problems records this as falsifiable.
No Repository has ruled on it here.
How far the record reaches4 of 6 stages
- Sourceerdos-problems
- StatementRetained
- Formal2 retained
- Resolutionfalsifiable
- WorkNone recorded
- DecisionNone here
- The questionNot reached
What this record is missingWork
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