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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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2007_09_01_hegyvari_hennecart_plagne: Hegyvári, Hennecart and Plagne (2007) prove bounded gaps for a basis of order two and construct, for every order k at least three, a basis whose sums of distinct elements have unbounded gaps: the assertion fails except for k = 2.