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Thread: Arithmetic progression

  1. #1
    Junior Member
    Sep 2011

    Arithmetic 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.

    Last edited by CaptainBlack; Nov 27th 2011 at 12:43 AM.
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