Martin Rivard-Cooke

collaborators

2 papers

math.NT2025

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 $u \in K_{w}^{n}$ , let $ω_{m - 1} (u)$ de…

math.NT2019

Counter-examples in Parametric Geometry of Numbers

Martin Rivard-Cooke, Damien Roy

Thanks to recent advances in parametric geometry of numbers, we know that the spectrum of any set of $m$ exponents of Diophantine approximation to points in $R^{n}$ (in a ge…