A Weighted Generalization of Two Theorems of Gao

David J. Grynkiewicz, Luz Elimar Marchan, Oscar Ordaz

Let $G$ be a finite abelian group and let $A\subseteq \mathbb{Z}$ be nonempty. Let $D_A(G)$ denote the minimal integer such that any sequence over $G$ of length $D_A(G)$ must conta…