Yujia Zhai

most citedAreas of triangles and Beck's theorem in planes over finite fields

4 citations · 4 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2024

Multi-linear forms, structure of graphs and Lebesgue spaces

A. Iosevich, E. Palsson, Y. Zhai +1

Consider the operator $T_{K} f (x) = \int_{R^{d}} K (x, y) f (y) d y,$ where $K$ is a locally integrable function or a measure. The purpose of this paper is to study the multi-line…

math.CO2012★ 4 cited

Areas of triangles and Beck's theorem in planes over finite fields

Alex Iosevich, Misha Rudnev, Yujia Zhai

It is shown that any subset $E$ of a plane over a finite field $\F_q$, of cardinality $∣ E ∣ > q$ determines not less than $\frac{q - 1}{2}$ distinct areas of triangles, moreover once ca…