Addition theorems on the cyclic groups of order p(l)

作者：Gao W D^*; Thangadurai R; Zhuang J

来源：Discrete Mathematics, 2008, 308(10): 2030-2033.

DOI：10.1016/j.disc.2007.04.040

• inverse problems
• zero-sum problems
• finite abelian groups

Let p be a prime number and l be any positive integer. Let G be the cyclic group of order p(l) and let S be any sequence in G of length p(l) + k for some positive integer k >= p(l-1) - 1 such that S do not admit a subsequence of length p(l) whose sum is zero in G. Then we prove that there exists an element of G which appears in S at least k + 1 times.

• 出版日期2008-5-28
• 单位南开大学; 大连理工大学