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arxiv: 1002.2254 · v2 · submitted 2010-02-11 · 🧮 math.NT · math.CO

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Yet another proof of Szemeredi's theorem

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keywords gowersszemereditheoremanotherarithmeticauthorsconjecturesdensity-increment
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Using the density-increment strategy of Roth and Gowers, we derive Szemeredi's theorem on arithmetic progressions from the inverse conjectures GI(s) for the Gowers norms, recently established by the authors and Ziegler.

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