Counting Problems for Orthogonal Sets and Sublattices in Function Fields

Noy Soffer Aranov, Angelot Behajaina

Let $\mathcal{K}={\mathbb{F}}_q((x^{-1}))$. Analogous to orthogonality in the Euclidean space ${\mathbb{R}}^n$, there exists a well-studied notion of ultrametric orthogonality in $\mat…