On the Number of Subsequences with a Given Sum in a Finite Abelian Group
On the Number of Subsequences with a Given Sum in a Finite Abelian Group
Suppose $G$ is a finite abelian group and $S$ is a sequence of elements in $G$. For any element $g$ of $G$, let $N_g(S)$ denote the number of subsequences of $S$ with sum $g$. The purpose of this paper is to investigate the lower bound for $N_g(S)$. In particular, we …