Luke Stewart

collaborators

2 papers

math.NT2024

Waring Numbers of Ramified $p$ -adic Rings

Lucas Anthony, Joe Burton, Irene Deegbe +5

Let $p$ be prime and $e, k$ be positive integers, and let $R = Z_{p} [e p]$ . We calculate the Waring numbers $g_{R} (k)$ for many values of $p, e$ , and $k$ , and investig…

math.GR2023

Subsets of free groups with distinct differences

Simon R. Blackburn, Emma Smith, Luke Stewart

Let $F_{n}$ be a free group of rank $n$ , with free generating set $X$ . A subset $D$ of $F_{n}$ is a \emph{Distinct Difference Configuration} if the differences $g^{- 1} h$ are distinct,…

Waring Numbers of Ramified p-adic Rings

Subsets of free groups with distinct differences

Waring Numbers of Ramified $p$ -adic Rings