D. Dong

most citedImproved estimates for polynomial Roth type theorems in finite fields

4 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2017★ 1 cited

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}…

math.NT2017★ 4 cited

Improved estimates for polynomial Roth type theorems in finite fields

Dong Dong, Xiaochun Li, Will Sawin

We prove that, under certain conditions on the function pair $φ_{1}$ and $φ_{2}$ , bilinear average $p^{- 1} \sum_{y \in F_{p}} f_{1} (x + φ_{1} (y)) f_{2} (x + φ_{2} (y))$ along curve $(φ_{1}, φ_{2})$ …

math.CA2017

Quasi pieces of the bilinear Hilbert transform incorporated into a paraproduct

Dong Dong

We prove the boundedness of a class of tri-linear operators consisting of a quasi piece of bilinear Hilbert transform whose scale equals to or dominates the scale of its linear cou…