2 problems

Let $\wedge$ be a lattice of determinant $1$. Suppose there is a sphere $|X|<R$ containing no point of $\wedge$ other than $O$ and having $n$ linearly independent points of…

Let $\mathbb{L}$ be a lattice in $n$-dimensional Euclidean space $\mathbb{R}^n$ with a Korkine–Zolotareff-reduced basis … where the $A_i$ are positive. Woods' conjecture. If…