On a different weighted zero-sum constant

Santanu Mondal, Krishnendu Paul, Shameek Paul

Published 2021-10-06, updated 2022-10-22Version 3

For a finite abelian group $(G,+)$, the constant $C(G)$ is defined to be the smallest natural number $k$, such that any sequence of $k$ elements in $G$ has a subsequence of consecutive terms whose sum is zero. We also define a weighted version of this constant and determine its value for some particular weights, for the group $\mathbb Z_n$.