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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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1995_02_01_deshouillers_freiman: Theorem 1 of the 1995 Israel Journal paper: an admissible subset of the first N integers has at most 2 N^{1/2} + C N^{5/12} elements, so with Straus's block k(N) is asymptotic to 2 N^{1/2}; refereed, not the site's key.

1999_01_01_deshouillers_freiman: For all large N an admissible subset of the first N integers has at most 2 sqrt(N + 1/4) - 1 elements, which Straus's top block attains, so k(N) is asymptotic to 2 sqrt N; refereed in Astérisque and credited by the site.