# Inverse zero-sum problems

```@article{Gao2007InverseZP,
title={Inverse zero-sum problems},
author={Weidong Gao and Alfred Geroldinger and Wolfgang A. Schmid},
journal={Acta Arithmetica},
year={2007},
volume={128},
pages={245-279}
}```
• Published 2007
• Mathematics
• Acta Arithmetica
Let G be an additive finite abelian group with exponent exp(G) = n. We define some central invariants in zero-sum theory: Let • D(G) denote the smallest integer l ∈ N such that every sequence S over G of length |S| ≥ l has a zero-sum subsequence. • η(G) denote the smallest integer l ∈ N such that every sequence S over G of length |S| ≥ l has a zero-sum subsequence T of length |T | ∈ [1, n]. • s(G) denote the smallest integer l ∈ N such that every sequence S over G of length |S| ≥ l has a zero…

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