Discrete bilinear Radon transforms along arithmetic functions with many common values

Dong Dong, Xianchang Meng

We prove that for a large class of functions $P$ and $Q$, there exists $d\in (0,1)$ such that the discrete bilinear Radon transform $$B^{\rm dis}_{P,Q}(f,g)(n)=\sum_{m\in\mathbb{Z}…