Monochromatic paths for the integers |
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| Affiliation: | 1. Department of Mathematics, Columbia University, New York, United States;2. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary;3. Departamento de Matemática, Universidade Nova de Lisboa, Caparica, Portugal |
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| Abstract: | Recall that van der Waerden’s theorem states that any finite coloring of the naturals has arbitrarily long monochromatic arithmetic sequences. We explore questions about the set of differences of those sequences. |
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