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papers

Publications (81)

math.NT2008

Chen's primes and ternary Goldbach problem

Hongze Li, Hao Pan

math.NT2005

A q-analogue of Wolstenholme's harmonic series congruence

Ling-Ling Shi, Hao Pan

math.NT2013

An analogue of the prime number theorem for finite fields

Hao Pan, Zhi-Wei Sun

math.NT2012

Some 3-adic congruences for binomial sums

Yong Zhang, Hao Pan

math.NT2007

A characterization of covering equivalence

Hao Pan, Zhi-Wei Sun

math.NT2009

On the number of distinct prime factors of $nj+a^hk$

Hao Pan

math.NT2015

Bounded gaps between primes of the special form

Hongze Li, Hao Pan

math.NT2004

New identities involving Bernoulli and Euler polynomials

Hao Pan, Zhi-Wei Sun

math.NT2010

Some congruences for trinomial coefficients

Hui-Qin Cao, Hao Pan

math.NT2015

Proof of a conjecture involving Sun polynomials

Victor J. W. Guo, Guo-Shuai Mao, Hao Pan

math.NT2009

Some congruences for the second-order Catalan numbers

Li-Lu Zhao, Hao Pan, Zhi-Wei Sun

math.CO2012

Restricted Sumsets in Finite Nilpotent Groups

Shanshan Du, Hao Pan

math.NT2013

Stern's type congruences for L(-k,χ)

Hao Pan, Yong Zhang

math.NT2018

Some permutations over ${\mathbb F}_p$ concerning primitive roots

Li-Yuan Wang, Hao Pan

math.NT2007

The Romanov theorem revised

Hongze Li, Hao Pan

math.NT2008

A Schur-type addition theorem for primes

Hongze Li, Hao Pan

math.NT2006

A generalization of Wolstenholme's harmonic series congruence

Hao Pan

math.NT2018

Note on a sum involving the Euler function

Li-Xia Dai, Hao Pan

math.NT2007

Symmetric identities on Bernoulli polynomials

Amy M. Fu, Hao Pan, Fan Zhang

math.NT2016

Small gaps between the Piatetski-Shapiro primes

Hongze Li, Hao Pan

math.CO2008

Clique Numbers of Graphs and Irreducible Exact m-Covers of Z

Hao Pan, Li-Lu Zhao

math.NT2009

Some q-congruences related to 3-adic valuations

Hao Pan, Zhi-Wei Sun

math.NT2009

Factors of alternative binomials sums

Hui-Qin Cao, Hao Pan

math.CO2016

On the number of three-term arithmetic progressions in a dense subset of $F_q^n$

Shanshan Du, Hao Pan

math.CO2005

A congruence involving products of $q$-binomial coefficients

Hao Pan, Hui-Qin Cao

math.NT2012

Factors of Some Lacunary q-Binomial Sums

Hao Pan

math.NT2009

A new extension of the Erdos-Heilbronn conjecture

Hao Pan, Zhi-Wei Sun

math.NT2005

A q-analogue of Lehmer's congruence

Hao Pan

math.CO2010

Symmetric identities for Euler polynomials

Yong Zhang, Zhi-Wei Sun, Hao Pan

math.NT2012

Inverse Erdos-Fuchs theorem for k-fold sumsets

Li-Xia Dai, Hao Pan

math.CO2006

A combinatorial identity with application to Catalan numbers

Hao Pan, Zhi-Wei Sun

math.CO2016

Identities involving weighted Catalan, Schroder and Motzkin paths

Zhi Chen, Hao Pan

math.CO2010

On 2-adic orders of some binomial sums

Hao Pan, Zhi-Wei Sun

math.CO2006

Restricted sumsets and a conjecture of Lev

Hao Pan, Zhi-Wei Sun

math.NT2015

The Rodriguez-Villegas type congruences for truncated q-hypergeometric functions

Victor J. W. Guo, Hao Pan, Yong Zhang

math.NT2006

A generalization of Carlitz's congruence

Hao Pan

math.NT2017

The Green-Tao theorem for primes of the form $x^2+y^2+1$

Yu-Chen Sun, Hao Pan

quant-ph2010

On the Capability of Measurement-Based Quantum Feedback

Bo Qi, Hao Pan, Lei Guo

math.NT2007

Mixed sums of squares and triangular numbers (II)

Song Guo, Hao Pan, Zhi-Wei Sun

math.NT2018

On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric ${}_1F_0$ series

Yong Zhang, Hao Pan

math.NT2013

A curious identity for Bernoulli numbers

Daniel B. Grunberg, Hao Pan, Zhi-Wei Sun

math.NT2009

On the integers not of the form $p+2^a+2^b$

Hao Pan

math.NT2009

On the integers of the form $p^2+b^2+2^n$ and $b_1^2+b_2^2+2^{n^2}$

Hao Pan, Wei Zhang

math.NT2014

Proof of three conjectures on congruences

Hao Pan, Zhi-Wei Sun

math.NT2015

A Stern-type congruence for the Schroder numbers

Hui-Qin Cao, Hao Pan

math.NT2007

Sums of Products of Bernoulli numbers of the second kind

Ming Wu, Hao Pan

math.NT2006

A sharp result on m-covers

Hao Pan, Zhi-Wei Sun

math.CO2015

A Lucas-type congruence for q-Delannoy numbers

Hao Pan

math.NT2008

Primes in the form $[αp+β]$

Hongze Li, Hao Pan

math.NT2008

A density version of Vinogradov's three primes theorem

Hongze Li, Hao Pan

math.CO2015

Note on polynomial recurrence

Hao Pan

math.NT2016

On the Erdos-Fuchs theorem

Li-Xia Dai, Hao Pan

math.NT2018

$p$-adic analogues of hypergeometric identities

Guo-Shuai Mao, Hao Pan

math.NT2018

Supercongruences concerning truncated hypergeometric series

Chen Wang, Hao Pan

math.NT2009

Lehmer's type congruences for lacunary harmonic sums

Hao Pan

math.CO2005

Arithmetic properties of q-Fibonacci numbers and q-Pell numbers

Hao Pan

math.NT2016

Ergodic recurrence and bounded gaps between primes

Hao Pan

math.NT2006

A remark on Zoloterav's theorem

Hao Pan

math.CO2006

On q-Euler numbers, q-Salie numbers and q-Carlitz numbers

Hao Pan, Zhi-Wei Sun

math.NT2006

On consecutive happy numbers

Hao Pan

math.NT2018

On the gaps between consecutive primes

Yu-Chen Sun, Hao Pan

math.NT2016

A generalization of Frieman's 3k-3 theorem

Shanshan Du, Hao Pan

math.NT2011

Note on the additive complements of primes

Li-Xia Dai, Hao Pan

math.NT2010

On a conjecture of Sun

Hao Pan

math.NT2018

On a sum involving the Euler function

Olivier Bordellès, Lixia Dai, Randell Heyman +2

math.NT2006

q-Analogue of Wilson's theorem

Robin Chapman, Hao Pan

math.NT2007

Difference sets and Polynomials of prime variables

Hongze Li, Hao Pan

math.NT2007

Two addition theorems on polynomials of prime variables

Hongze Li, Hao Pan

math.NT2006

A lower bound for |{a+b: a\in A, b\in B, P(a,b)\not=0}|

Hao Pan, Zhi-Wei Sun

math.NT2006

Identities concerning Bernoulli and Euler polynomials

Zhi-Wei Sun, Hao Pan

math.NT2018

Divisibility of some binomial sums

He-Xia Ni, Hao Pan

math.NT2013

On the divisibility of the truncated hypergeometric function 3F2

Hao Pan, Yong Zhang

math.NT2004

New identities involving Bernoulli and Euler polynomials. II

Zhi-Wei Sun, Hao Pan

math.NT2018

On the sums of three generalized polygonal numbers

Hai-Liang Wu, Hao Pan

math.NT2006

Congruences on Stirling numbers and Eulerian numbers

Hui-Qin Cao, Hao Pan

math.NT2016

On the generalized restricted sumsets in abelian groups

Shanshan Du, Hao Pan

math.NT2008

q-Analogue of Gauss' Divisibility Theorem

Hao Pan

math.NT2018

On the divisibility of some truncated hypergeometric series

Guo-Shuai Mao, Hao Pan

math.NT2016

Some symmetric $q$-congruences

He-Xia Ni, Hao Pan

math.NT2006

Note on some congruences of Lehmer

Hui-Qin Cao, Hao Pan

math.NT2011

On divisibility of sums of Apery polynomials

Hao Pan