On the asymptotic minimum number of monochromatic 3-term arithmetic progressions |
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| Authors: | Pablo A Parrilo |
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| Institution: | a Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
b Department of Mathematics, Colgate University, Hamilton, NY 13346, USA |
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| Abstract: | Let V(n) be the minimum number of monochromatic 3-term arithmetic progressions in any 2-coloring of {1,2,…,n}. We show that |
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| Keywords: | Arithmetic progressions Ramsey theory Regular equations |
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