Hao Pan

math.NT2010★ 3 cited

Proof of three conjectures on congruences

Hao Pan, Zhi-Wei Sun

In this paper we prove three conjectures on congruences involving central binomial coefficients or Lucas sequences. Let $p$ be an odd prime and let $a$ be a positive integer. We sh…

math.NT2010★ 5 cited

Some congruences for trinomial coefficients

Hui-Qin Cao, Hao Pan

We prove several congruences for trinomial coefficients.

math.NT2010

On a conjecture of Sun

Hao Pan

We confirm a conjecture of Sun on the expansions of $n (m^{k} - 1) / (m - 1)$ in base $m$ .