On the Polynomial Szemerédi Theorem in Finite Commutative Rings

Vitaly Bergelson, Andrew Best

The polynomial Szemerédi theorem implies that, for any $\delta \in (0,1)$, any family $\{P_1,\dots ,P_m\}\subset \mathbb{Z}[y]$ of nonconstant polynomials with constant term zero, and…