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arXiv · 2110.02539

On a different weighted zero-sum constant

Santanu Mondal·Krishnendu Paul·Shameek Paul
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Abstract

For a finite abelian group $(G,+)$, the constant $C(G)$ is defined to be the smallest natural number $k$ such that any sequence in $G$ having length $k$ will have a subsequence of consecutive terms whose sum is zero. For a subset $A\subseteq\mathbb Z_n$, the constant $C_A(n)$ is the smallest natural number $k$ such that any sequence in $G$ having length $k$ has an $A$-weighted zero-sum subsequence of consecutive terms. We determine the value of $C_A(n)$ for some particular weight-sets $A$.

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Santanu Mondal, Krishnendu Paul, Shameek Paul. 2021-10-06. On a different weighted zero-sum constant. https://arxiv.org/abs/2110.02539

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