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arXiv · 2301.08976

Modified Erdős-Ginzburg-Ziv constants for $\mathbb{Z}_2^d$

Alexander Sidorenko
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Abstract

Let $G$ be a finite abelian group written additively, and let $r$ be a multiple of its exponent. The modified Erdős-Ginzburg-Ziv constant $\mathsf{s}_r'(G)$ is the smallest integer $s$ such that every zero-sum sequence of length $s$ over $G$ has a zero-sum subsequence of length $r$. We find exact values of $\mathsf{s}_{2k}'(\mathbb{Z}_2^d)$ for $d \leq 2k+1$.

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Alexander Sidorenko. 2023-01-21. Modified Erdős-Ginzburg-Ziv constants for $\mathbb{Z}_2^d$. https://doi.org/10.1007/s00373-023-02709-w

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