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The Davenport constant of low-dimensional boxes

Girard, Benjamin et al.
arXiv (All) · Papers
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combinatoricsnumber-theory
In this paper, we study the maximal length of a minimal zero-sum sequence over $\left[\!\left[ -m,m \right]\!\right]^d$ having a support of size $d+1$. When $d=2$, we find the exact value of this maximal length for all $m \ge 2$, as well as the exact structure of all extremal sequences for this prob
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