Szemerédi's theorem

E959796 UNEXPLORED

Szemerédi's theorem is a fundamental result in combinatorial number theory stating that any subset of the integers with positive upper density contains arbitrarily long arithmetic progressions.

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Green–Tao theorem generalizesFrom Szemerédi's theorem
Green–Tao theorem inspiredBy Szemerédi's theorem
Green–Tao theorem relatedTo Szemerédi's theorem