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On a conjecture of Sárközy and Szemerédi

On a conjecture of Sárközy and Szemerédi

Two infinite sequences $A$ and $B$ of non-negative integers are called <i>infinite additive complements</i> if their sum contains all sufficiently large integers. In 1994, Sárközy and Szemerédi conjectured that there exist infinite additive complements $A