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Abstract
For (G, +) a finite abelian group the plus–minus weighted Davenport constant, denoted D±(G), is the smallest ℓ such that each sequence g1…gℓover G has a weighted zero-subsum with weights +1 and -1, i.e. there is a non-empty subset I ⊂ {1,…,ℓ} such that ∑i∈Iaigi= 0 for ai∈ {+1, -1}. We present new bounds for this constant, mainly lower bounds, and also obtain the exact value of this constant for various additional types of groups.
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