31 citations · 43 across the 8 of their papers we have counts for
7 papers · 1 filter
Ramanujan-type Congruences for Overpartitions Modulo 16
William Y. C. Chen, Qing-Hu Hou, Lisa H. Sun +1
Let denote the number of overpartitions of . Recently, Fortin-Jacob-Mathieu and Hirschhorn-Sellers independently obtained 2-, 3- and 4-dissections of the gener…
Ramanujan-type Congruences for Overpartitions Modulo 5
William Y. C. Chen, Lisa H. Sun, Rong-Hua Wang +1
Let denote the number of overpartitions of . Hirschhorn and Sellers showed that for . They also conjectured that…
Congruences of Multipartition Functions Modulo Powers of Primes
William Y. C. Chen, Daniel K. Du, Qing-Hu Hou +1
Let denote the number of -component multipartitions of , and let be the space spanned by , where is the Dedekind's eta function and…
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.
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…
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.…
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 . The proof of Mehler's formula can be co…