L. H. Sun

activity

20062014

most citedThe Bivariate Rogers-Szegö Polynomials

31 citations · 43 across the 8 of their papers we have counts for

collaborators

9 papers

math.CO2014

Ramanujan-type Congruences for Overpartitions Modulo 16

William Y. C. Chen, Qing-Hu Hou, Lisa H. Sun +1

Let $p (n)$ denote the number of overpartitions of $n$ . Recently, Fortin-Jacob-Mathieu and Hirschhorn-Sellers independently obtained 2-, 3- and 4-dissections of the gener…

math.CO2014

Ramanujan-type Congruences for Overpartitions Modulo 5

William Y. C. Chen, Lisa H. Sun, Rong-Hua Wang +1

Let $p (n)$ denote the number of overpartitions of $n$ . Hirschhorn and Sellers showed that $p (4 n + 3) \equiv 0 (mod 8)$ for $n \geq 0$ . They also conjectured that…

math.CA2013

Stanley's Lemma and Multiple Theta Functions

William Y. C. Chen, Lisa H. Sun

We present an algorithmic approach to the verification of identities on multiple theta functions in the form of products of theta functions $[(-1)^δa_1^{α_1}a_2^{α_2}\cdots a_r^{α_…

math.CO2012

Congruences of Multipartition Functions Modulo Powers of Primes

William Y. C. Chen, Daniel K. Du, Qing-Hu Hou +1

Let $p_{r} (n)$ denote the number of $r$ -component multipartitions of $n$ , and let $S_{γ, λ}$ be the space spanned by $η (24 z)^{γ} ϕ (24 z)$ , where $η (z)$ is the Dedekind's eta function and…

math.CO2010

An Iterated Map for the Lebesgue Identity

William Y. C. Chen, Qing-Hu Hou, Lisa H. Sun

We present a simple iteration for the Lebesgue identity on partitions, which leads to a refinement involving the alternating sums of partitions.

math.CO2010

The Method of Combinatorial Telescoping

William Y. C. Chen, Qing-Hu Hou, Lisa H. Sun

We present a method for proving q-series identities by combinatorial telescoping, in the sense that one can transform a bijection or a classification of combinatorial objects into…

math.CA2009★ 12 cited

An Operator Approach to the Al-Salam-Carlitz Polynomials

William Y. C. Chen, Husam L. Saad, Lisa H. Sun

We present an operator approach to Rogers-type formulas and Mehler's formulas for the Al-Salam-Carlitz polynomials $U_{n} (x, y, a; q)$ . By using the q-exponential operator, we obtain a…

math.CO2008

Extended Zeilberger's Algorithm for Identities on Bernoulli and Euler Polynomials

William Y. C. Chen, Lisa H. Sun

We present a computer algebra approach to proving identities on Bernoulli polynomials and Euler polynomials by using the extended Zeilberger's algorithm given by Chen, Hou and Mu.…

math.CO2006★ 31 cited

The Bivariate Rogers-Szegö Polynomials

William Y. C. Chen, Husam L. Saad, Lisa H. Sun

We present an operator approach to deriving Mehler's formula and the Rogers formula for the bivariate Rogers-Szegö polynomials $h_{n} (x, y ∣ q)$ . The proof of Mehler's formula can be co…