On the number of weighted subsequences with zero-sum in a finite abelian group

Abílio Lemos, Allan de Oliveira Moura

Suppose $G$ is a finite abelian group and $S=g_1\cdots g_l$ is a sequence of elements in $G$. For any element $g$ of $G$ and $A\subseteq \mathbb{Z}\backslash \left\{0\right\}$,…