2 citations · 4 across the 9 of their papers we have counts for
9 papers
Cyclotomic factors of rational necklace functions
Nguyen Cao Minh, Nguyen Vu Hoang Minh, Dung Nguyen +3
Necklace polynomials arise in various fields of mathematics, including combinatorics, Lie theory, and Galois theory over finite fields. Their arithmetic properties have been extens…
On gcd-graphs over matrix rings
Dung Nguyen, Tung T. Nguyen
Graphs defined over finite rings are well studied in the literature. The study of these graphs benefits from rich connections between several areas of mathematics, including number…
Stability of Euler-Lagrange type cubic functional equations in quasi-Banach spaces
Wutiphol Sintunavarat, Nguyen Van Dung, Anurak Thanyacharoen
In this paper, we study the generalized Hyers-Ulam stability of Euler-Lagrange type cubic functional equation of the form \begin{align*} 2mf(x + my) + 2f(mx - y) = (m^3 + m)[f(x+ y…
On Frink's metrization technique and applications
Tran Van An, Nguyen Van Dung
In this paper, we give a simple counterexample to show again the limits of Frink's~construction and then use Frink's metrization technique to answer two conjectures posed by Berind…
Whitney's theorem for local anisotropic polynomial L_p-approximation, 0<p<1
Dinh Dũng, Nguyen Van Dũng, Nguyen Dinh Hoa
Dinh Dũng and T. Ullrich have proven a multivariate Whitney's theorem for the local anisotropic polynomial approximation in for , where is a -pa…
Characteristic numbers of rational cuspidal space curves
Dung Nguyen
We solve the problem of computing characteristic numbers of rational space curves with a cusp, where there may or may not be a condition on the node. The solution is given in the f…
Characteristic numbers of ellitpic space curves with fixed j-invariant
Dung Nguyen
We solve the problem of counting elliptic curves with fixed j-invariant in projective space with tangency conditions. This is equivalent to couting rational nodal curves with condi…
Characteristic numbers of elliptic space curves
Dung Nguyen
We solve the problem of characteristic numbers of elliptic curves in any dimensional projective space The answers are given in the form of effective recursions. Many numerical exam…
Characteristic numbers of rational nodal curves in
Dung Nguyen
In this paper we compute the number of rational curves with one node passing through a given number of points, lines and tangent to a given number of planes in .