Sárközy's theorem in ${\mathbf{F}}_2[x]$

Aleksandra Kowalska

Green showed that, conditional on GRH, a subset $A\subseteq [N]$ with $\mid A\mid {\gg }_{\hat{I}}\mu N^{\frac{11}{12}+\hat{I}\mu }$ must contain two elements whose difference is $p-1$ for $p$ a prime…