Shanshan Du

activity

20102024

most citedOn a sumset problem for integers

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

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4 papers · 1 filter

math.CO2024

The restricted sumsets in finite abelian groups

Shanshan Du, Hao Pan

Suppose that $k \geq 2$ and $A$ is a non-empty subset of a finite abelian group $G$ with $∣ G ∣ > 1$ . Then the cardinality of the restricted sumset $$ k^\wedge A:=\{a_1+\cdots+a_k:\,a_1…

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.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…

math.CO2010★ 5 cited

On a sumset problem for integers

Shan-Shan Du, Hui-Qin Cao, Zhi-Wei Sun

Let $A$ be a finite set of integers. We show that if $k$ is a prime power or a product of two distinct primes then $∣ A + k \cdot A ∣ \geq (k + 1) ∣ A ∣ - ⌈ k (k + 2) /4 ⌉$ provided $|A|\…

The restricted sumsets in finite abelian groups

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

Restricted Sumsets in Finite Nilpotent Groups

On a sumset problem for integers

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