Weighted Sequences in Finite Cyclic Groups
| dc.creator | Grynkiewicz, David J. | |
| dc.creator | Zhuang, Jujuan | |
| dc.date | 2007-10-19 | |
| dc.date.accessioned | 2026-07-07T08:37:21Z | |
| dc.date.available | 2026-07-07T08:37:21Z | |
| dc.description | Let $p>7$ be a prime, let $G=\Z/p\Z$, and let $S_1=\prod_{i=1}^p g_i$ and $S_2=\prod_{i=1}^p h_i$ be two sequences with terms from $G$. Suppose that the maximum multiplicity of a term from either $S_1$ or $S_2$ is at most $\frac{2p+1}{5}$. Then we show that, for each $g\in G$, there exists a permutation $σ$ of $1,2,..., p$ such that $g=\sum_{i=1}^{p}(g_i\cdot h_{σ(i)})$. The question is related to a conjecture of A. Bialostocki concerning weighted subsequence sums and the Erdős-Ginzburg-Ziv Theorem. | |
| dc.identifier | https://arxiv.org/abs/0710.3718 | |
| dc.identifier | http://arxiv.org/abs/0710.3718 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140371 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 11B75: 11B50 | |
| dc.title | Weighted Sequences in Finite Cyclic Groups | |
| dc.type | text |