Steven Senger

collaborators

3 papers

math.CA2024

Pinned Dot Product Set Estimates

Paige Bright, Caleb Marshall, Steven Senger

We study a variant of the Falconer distance problem for dot products. In particular, for fractal subsets $A \subset R^{n}$ and $a, x \in R^{n}$ , we study sets of the for…

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-…