A weighted generalization of Gao's n+D-1 Theorem
| dc.creator | Hamidoune, Yahya O. | |
| dc.date | 2007-11-26 | |
| dc.date.accessioned | 2026-07-07T08:45:03Z | |
| dc.date.available | 2026-07-07T08:45:03Z | |
| dc.description | Let $G$ denotes a finite abelian group of order $n$ and Davenport constant $D$, and put $m= n+D-1$. Let $x=(x_1, ..., x_m)\in G^m$ be a sequence with a maximal repetition $\ell$ attained by $x_m$ and put $r=\min(D,\ell)$. Let $w=(w_1, ..., w_{m-r})\in \Z^{m-r}.$ Then there are an $n$-subset $I\subset [1,m-r]$ and an injection $f: I\mapsto [1,m]$, such that $m\in f(I)$ and $$\sum_{i\in I}w_{i}x_{f({i})}=(\sum_{i\in I}w_{i})x_{m}.$$ | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0711.4074 | |
| dc.identifier | http://arxiv.org/abs/0711.4074 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142862 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 11B50, 20D60 | |
| dc.title | A weighted generalization of Gao's n+D-1 Theorem | |
| dc.type | text |