| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4649710 | Discrete Mathematics | 2008 | 4 Pages |
Abstract
Let pp be a prime number and ℓℓ be any positive integer. Let GG be the cyclic group of order pℓpℓ and let SS be any sequence in GG of length pℓ+kpℓ+k for some positive integer k⩾pℓ-1-1k⩾pℓ-1-1 such that SS do not admit a subsequence of length pℓpℓ whose sum is zero in GG. Then we prove that there exists an element of GG which appears in SS at least k+1k+1 times.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
W.D. Gao, R. Thangadurai, J. Zhuang,