56 citations · 85 across the 10 of their papers we have counts for
4 papers · 1 filter
Power monoids: A bridge between Factorization Theory and Arithmetic Combinatorics
Yushuang Fan, Salvatore Tringali
We extend a few fundamental aspects of the classical theory of non-unique factorization, as presented in Geroldinger and Halter-Koch's 2006 monograph on the subject, to a non-commu…
On the maximal multiplicity of long zero-sum free sequences over
Yushuang Fan, Linlin Wang, Qinghai Zhong
In this paper, we point out that the method used in [Acta Arith. 128(2007) 245-279] can be modified slightly to obtain the following result. Let and…
On short zero-sum subsequences of zero-sum sequences
Yushuang Fan, Weidong Gao, Guoqing Wang +2
Let be a finite abelian group, and let be the smallest integer such that every sequence over of length at least contains a zero-sum subsequence with leng…
On the Erd{\H o}s--Ginzburg--Ziv constant of finite abelian groups of high rank
Yushuang Fan, Weidong Gao, Qinghai Zhong
Let be a finite abelian group. The Erd{\H o}s--Ginzburg--Ziv constant of is defined as the smallest integer such that every sequence \ …