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

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Showing 2016Show all

7 papers · 1 filter

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.NT2016

On the Erdos-Fuchs theorem

Li-Xia Dai, Hao Pan

We prove several extensions of the Erdos-Fuchs theorem.

math.NT2016

Ergodic recurrence and bounded gaps between primes

Hao Pan

Let $(X, B_{X}, μ, T)$ be a measure-preserving probability system with $T$ is invertible. Suppose that $A \in B_{X}$ with $μ (A) > 0$ and $ε > 0$ . For any $m \geq 1$ , there exist infinitely many…

math.CO2016

Identities involving weighted Catalan, Schroder and Motzkin paths

Zhi Chen, Hao Pan

In this paper, we investigate the weighted Catalan, Motzkin and Schröder numbers together with the corresponding weighted paths. The relation between these numbers is illustrated b…

math.NT2016

Some symmetric $q$ -congruences

He-Xia Ni, Hao Pan

We prove some symmetric $q$ -congruences.

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

On the generalized restricted sumsets in abelian groups

On the Erdos-Fuchs theorem

Ergodic recurrence and bounded gaps between primes

Identities involving weighted Catalan, Schroder and Motzkin paths

Some symmetric q-congruences

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

Some symmetric $q$ -congruences