Shanshan Du

most citedRestricted Sumsets in Finite Nilpotent Groups

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2016

On the number of three-term arithmetic progressions in a dense subset of $F_{q}^{n}$

Shanshan Du, Hao Pan

Let $q$ be an odd prime power. Combining the discussion of Varnavides and a recent theorem of Ellenberg and Gijswijt, we show that a subset $A \subset F_{q}^{n}$ will contain m…

math.NT2016

On the generalized restricted sumsets in abelian groups

Shanshan Du, Hao Pan

Suppose that $A$ , $B$ and $S$ are non-empty subsets of a finite abelian group $G$ . Then the generalized restricted sumset $$ A\stackrel{S}+B:=\{a+b:\,a\in A,\ b\in B,\ a-b\not\in S…

math.CO2012★ 1 cited

Restricted Sumsets in Finite Nilpotent Groups

Shanshan Du, Hao Pan

Suppose that $A, B$ are two non-empty subsets of the finite nilpotent group $G$ . If $A \neq = B$ , then the cardinality of the restricted sumset $$A\dotplus B={a+b: a\in A, b\in B, a\ne…

On the number of three-term arithmetic progressions in a dense subset of Fqn​

On the generalized restricted sumsets in abelian groups

Restricted Sumsets in Finite Nilpotent Groups

On the number of three-term arithmetic progressions in a dense subset of $F_{q}^{n}$