7 citations
2 papers
math.CO2020★ 7 cited
Expanding phenomena over higher dimensional matrix rings
Nguyen Van The, Le Anh Vinh
In this paper, we study the expanding phenomena in the setting of higher dimensional matrix rings. More precisely, we obtain a sum-product estimate for large subsets and show that…
math.CO2016★ 6 cited
Three-variable expanding polynomials and higher-dimensional distinct distances
Thang Pham, Le Anh Vinh, Frank de Zeeuw
We determine which quadratic polynomials in three variables are expanders over an arbitrary field . More precisely, we prove that for a quadratic polynomial $f\in \math…