Best versus uniform Diophantine approximatio

Martin Rivard-Cooke, Damien Roy

Let $0<m<n$ be integers, and let $K_w$ denote the completion of a number field $K$ at a non-trivial place $w$. For each non-zero $\text{u}\in K_w^n$, let $\ddot{I}{‰}_{m-1}(\text{u})$ d…