A new result on Davenport constant (Q1035590)

Let \(G\) be a finite abelian group of order \(n\) and Davenport constant \(D(G)\), \(S=O^{h(S)}\prod_{g\in G}g^{v_g(S)}\) a sequence in \(G\) with \(h(S)=\max\{v_g(S)\mid g\in G\}\) and \(t=|S|\geq n+D(G)-1\). The authors prove that \(0\in\sum_k(S)\) for every \(1\leq k\leq t+1-D(G)\).