Hao Pan

activity

20042026

most cited

p

-adic analogues of hypergeometric identities

11 citations · 115 across the 90 of their papers we have counts for

collaborators

Showing 2012Show all

4 papers · 1 filter

math.NT2012

Inverse Erdos-Fuchs theorem for k-fold sumsets

Li-Xia Dai, Hao Pan

We generalize a result of Ruzsa on the inverse Erdos-Fuchs theorem for k-fold sumsets.

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.NT2012

Some 3-adic congruences for binomial sums

Yong Zhang, Hao Pan

We prove some 3-adic congruences for binomial sums, which were conjectured by Sun.

math.NT2012★ 3 cited

Factors of Some Lacunary q-Binomial Sums

Hao Pan

In this paper, we prove a divisibility result for the lacunary $q$ -binomial sum $$ \sum_{k\equiv r\pmod{c}}(-1)^kq^{\binom{k}{2}}\qbinom{n}{k}{q}\qbinom{(k-r)/c}{l}{q^{c}}. $$