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Problem 509

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  1. vf_9ee30376ba195da1

    theoretical

    Erdős Problem #509: declared status 'open'. Formalized: yes. Let f(z)∈C[z]f(z)\in\mathbb{C}[z] be a monic non-constant polynomial. Can the set{z∈C:∣f(z)∣≤1}\{ z\in \mathbb{C} : \lvert f(z)\rvert \leq 1\}be covered by a set of circles the sum of whose radii is ≤2\leq 2? Prize: no. Tags: analysis.

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