2 papers
math.CO2023
A matrix variant of the Erdős-Falconer distance problems over finite field
Hieu T. Ngo
We study a matrix analog of the Erdős-Falconer distance problems in vector spaces over finite fields. There arises an interesting analysis of certain quadratic matrix Gauss sums.
math.CO2022
Expanders on matrices over a finite chain ring, I
Dung M. Ha, Hieu T. Ngo
In this work and its sequel, we study the expanding phenomenon of matrices over a finite chain ring of large residue field. A sum-product estimate is proved. It is showed that $x+y…