2 problems

Let $p\geq 3$ be prime, let $G_{p}=\mathbb{Z}_{p}^{2}$, and let $H_{p}=\mathbb{Z}_{p}\times\\{0\\}$. Define … Let $\rho(E_{p})$ denote the Riesz ratio of $E_p$. Divergence conjectu…

Let $G$ be a finite abelian group, $H\subseteq G$ a subgroup, and $E\subseteq G$ a subset. Suppose $E$ multi-tiles $G$ by $H$ at level at most $\ell$, has at most $k$ distinct tran…