Weighted sums in finite cyclic groups

详细信息	查看全文 | 推荐本文 |

• 作者：Gao ; W.D. ; Jin ; X.
• 关键词：Zero-sum ; Cyclic group ; Sequence
• 刊名：Discrete Mathematics
• 出版年：2004
• 期刊代码：47_0012365x
• 类别：cp
• 出版时间：June 6, 2004
• 卷：283
• 期：1-3
• 页码：243-247
• 文件大小：202 K

摘要

In this paper we prove the following result. Let p be a prime, and k a positive integer. Let {w₁,…,w_k} be a sequence of k integers such that w₁++w_k≡0(modp²). Then, for every sequence a₁,…,a_p²+k−1 of p²+k−1 elements in C_p², there are k distinct indices i₁,i₂,…,i_k such that w₁a_i1++w_ka_ik