Hui-Qin Cao

activity

20052022

most citedSome congruences for trinomial coefficients

5 citations · 14 across the 12 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

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|\…

math.NT2010★ 5 cited

Some congruences for trinomial coefficients

Hui-Qin Cao, Hao Pan

We prove several congruences for trinomial coefficients.

math.NT2010★ 1 cited

Some congruences involving binomial coefficients

Hui-Qin Cao, Zhi-Wei Sun

Binomial coefficients and central trinomial coefficients play important roles in combinatorics. Let $p > 3$ be a prime. We show that $$T_{p-1}\equiv\left(\frac p3\right)3^{p-1}\ \pmo…