Finite Representability of Integers as $2$-Sums

Anant Godbole, Zach Higgins, Zoe Koch

A set $\mathcal{A}$ is said to be an additive $h$-basis if each element in $\{0,1,\dots ,hn\}$ can be written as an $h$-sum of elements of $\mathcal{A}$ in {\it at least} one way.…