Finite analogs of Szemerédi’s theorem
Finite analogs of Szemerédi’s theorem
One of the deepest theorems in mathematics is Endre Szemer\'edi's theorem about the inevitability of arithmetical progressions. Here we try to nibble at it, by doing analogs. This is already interesting for its own sake, but we believe that it has the potential to lead to extremely interesting sharpening of …