Let $\displaystyle E \in \mathbb{R}$ be a Lebesgue measurable set with strictly positive measure. Show that$\displaystyle E$ contains an arithmetic progression of length three.

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- Nov 26th 2011, 03:13 PMkierkegaardArithmetic progression

Let $\displaystyle E \in \mathbb{R}$ be a Lebesgue measurable set with strictly positive measure. Show that$\displaystyle E$ contains an arithmetic progression of length three.