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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.
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1987_01_01_ruzsa: Ruzsa (Proc. London Math. Soc. 1987) proves that an essential component has at least (log N)^(1+c) elements up to N, while a lacunary set has order log N, so the answer is no; credited by the site's curator and refereed.
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