Claims

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1989_01_01_erdos_sarkozy_sos: Theorem 3 of the 1989 chapter: for any partition of the positive integers into at most three classes, infinitely many squares are sums of two distinct integers of one class; the partial result before Khalfalah and Szemerédi.

2006_01_03_khalfalah_szemeredi: Khalfalah and Szemerédi's refereed 2006 theorem: for every non-constant integer polynomial f with an even value, every finite coloring of the integers has two distinct integers of one color summing to a value of f.

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