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#corners_theorem

Corners theorem

In arithmetic combinatorics, the corners theorem states that for every , for large enough , any set of at least points in the grid contains a corner, i.e., a triple of points of the form with . It was first proved by Miklós Ajtai and Endre Szemerédi in 1974 using Szemerédi's theorem. In 2003, József Solymosi gave a short proof using the triangle removal lemma.

Fri 12th

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Corners theorem Pythagorean theorem Arithmetic combinatorics British flag theorem Gauss–Bonnet theorem List of theorems Endre Szemerédi Generalized Stokes theorem De Gua's theorem Hales–Jewett theorem

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