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Abstract: Consider an arbitrary coloring of integers with finite number of colors. Isit true that there are x, y such that x + y, xy and x have the same color? Thisis a well-known question of Ramsey theory has not solved yet. In the article wegive a positive answer to the last question in the group Z-pZ, where p is aprime number.



Author: I.D. Shkredov

Source: https://arxiv.org/







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