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An arithmetic progression is a (possibly infinite) sequence of numbers such that the difference between consecutive terms is always the same value.

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Is there any relationship between Szemerédi's theorem and Sunflower conjecture?

I do not know of a direct connection to Roth or Szemerédi over the integers. However, the paper N. Alon, A. Shpilka and C. Umans, On Sunflowers and Matrix Multiplication, 2012 IEEE 27th Conference o …
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