Jiangtao Peng

activity

20092017

most citedMinimal zero-sum sequences of length four over finite cyclic groups II

5 citations · 14 across the 8 of their papers we have counts for

collaborators

8 papers

math.CO2017★ 4 cited

On the structure of zero-sum free set with minimum subset sums in abelian groups

Jiangtao Peng, Wanzhen Hui

Let $G$ be an additive abelian group and $S \subset G$ a subset. Let $Σ (S)$ denote the set of group elements which can be expressed as a sum of a nonempty subset of $S$ . We say $S$ …

math.CO2017

Zero-sum invariants of finite abelian groups

Weidong Gao, Yuanlin Li, Jiangtao Peng +1

The purpose of the article is to provide an unified way to formulate zero-sum invariants. Let $G$ be a finite additive abelian group. Let $B (G)$ denote the set consisting of all no…

math.CO2014

On the unsplittable minimal zero-sum sequences over finite cyclic groups of prime order

Jiangtao Peng, Fang Sun

Let $p > 155$ be a prime and let $G$ be a cyclic group of order $p$ . Let $S$ be a minimal zero-sum sequence with elements over $G$ , i.e., the sum of elements in $S$ is zero, but no…

math.NT2014★ 2 cited

Minimal zero-sum sequence of length five over finite cyclic groups of prime power order

Li-meng Xia, Yuanlin Li, Jiangtao Peng

Let $G$ be a finite cyclic group. Every sequence $S$ of length $l$ over $G$ can be written in the form $S = (x_{1} g) \cdot \dots \cdot (x_{l} g)$ where $g \in G$ and $x_1, \ldots, x_l\in[1, \…

math.NT2013

An upper bound for Davenport constant of finite groups

Weidong Gao, Yuanlin Li, Jiangtao Peng

Let $G$ be a finite (not necessarily abelian) group and let $p = p (G)$ be the smallest prime number dividing $∣ G ∣$ . We prove that $d (G) \leq \frac{∣ G ∣}{p} + 9 p^{2} - 10 p$ , where $d (G)$ deno…

math.CO2013★ 5 cited

Minimal zero-sum sequences of length four over finite cyclic groups II

Yuanlin Li, Jiangtao Peng

Let $G$ be a finite cyclic group. Every sequence $S$ over $G$ can be written in the form $S = (n_{1} g) \cdot \dots \cdot (n_{l} g)$ where $g \in G$ and $n_1, \ldots, n_l\in[1, \ord(g)]$, and…

math.CO2013★ 3 cited

Minimal zero-sum sequences of length five over finite cyclic groups

Jiangtao Peng, Yuanlin Li

Let $G$ be a finite cyclic group. Every sequence $S$ of length $l$ over $G$ can be written in the form $S = (n_{1} g) \cdot \dots \cdot (n_{l} g)$ where $g \in G$ and $n_1, \ldots, n_l\in[1, \…

math.CO2009

On the Index of Sequences over Cyclic Groups

Weidong Gao, Yuanlin Li, Jiangtao Peng +2

Let $G$ be a finite cyclic group of order $n \geq 2$ . Every sequence $S$ over $G$ can be written in the form $S = (n_{1} g) \cdot ... \cdot (n_{l} g)$ where $g \in G$ and $n_1,..., n_l \in [1…