Thang Pham

activity

20242026

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3 papers · 1 filter

math.CO2024

Packing sets under finite groups via algebraic incidence structures

Norbert Hegyvári, Le Quang Hung, Alex Iosevich +1

Let $G$ be a finite group acting on a vector space $V = F_{p}^{n}$ over a prime field. Given finite sets $S \subset G$ and $E \subset V$ , we study the restricted orbit union $…

math.CA2024

Packing sets in Euclidean space by affine transformations

Alex Iosevich, Pertti Mattila, Eyvindur Palsson +4

For Borel subsets $Θ \subset O (d) \times R^{d}$ (the set of all rigid motions) and $E \subset R^{d}$ , we define \begin{align*} Θ(E):=\bigcup_{(g,z)\in Θ}(gE+z). \end{ali…

math.NT2024

On the solvability of systems of equations revisited

Thang Pham, Steven Senger, Nguyen Trung-Tuan +2

In this paper, we introduce a new and direct approach to study the solvability of systems of equations generated by bilinear forms. More precisely, let $B (\cdot, \cdot)$ be a non-…