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The Number of Monochromatic Schur Triples
Authors:Tomasz Schoen  
Affiliation:Mathematisches Seminar, Universität zu Kiel, Ludewig-Meyn-Str. 4, 24098, Kiel, Germany
Abstract:In this paper, we prove that in every 2-coloring of the set {1, , N } = R B, one can find at least N2 / 22 + O(N) monochromatic solutions of the equation x + y = z. This solves a problem of Graham et al. .
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