Nguyen Van The

most citedExpanding phenomena over higher dimensional matrix rings

7 citations · 7 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2020

An optimal bound on the number of determinants generated by a subset in $F_{q}^{d}$

Nguyen Van The

In this short note, we prove that for $E \subset F_{q}^{d}$ with $∣ E ∣ \geq q^{d - 1} + O (q^{2})$ then the set of determinants generated by $E$ is $\m…

math.CO2020

Dot-product sets and simplices over finite rings

Nguyen Van The, Le Anh Vinh

In this paper, we study dot-product sets and $k$ -simplices in vector spaces over finite rings. We show that if $E$ is sufficiently large then the dot-product set of $E$ covers the…

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.CO2019

Some sum-product type estimates for two-variables over prime fields

Phuc D Tran, Nguyen Van The

In this paper, we use a recent method given by Rudnev, Shakan, and Shkredov (2018) to improve results on sum-product type problems due to Pham and Mojarrad (2018).

An optimal bound on the number of determinants generated by a subset in Fqd​

Dot-product sets and simplices over finite rings

Expanding phenomena over higher dimensional matrix rings

Some sum-product type estimates for two-variables over prime fields

An optimal bound on the number of determinants generated by a subset in $F_{q}^{d}$