Daniel K. Du

activity

20112015

D

-finite Property of

3

-Dimensional Lattice Walks

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2015★ 2 cited

Infinite Orders and Non- $D$ -finite Property of $3$ -Dimensional Lattice Walks

Daniel K. Du, Qing-Hu Hou, Rong-Hua Wang

Recently, Bostan and his coauthors investigated lattice walks restricted to the non-negative octant $N^{3}$ . For the $35548$ non-trivial models with at most six steps, they…

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.CO2011

Combinatorial Telescoping for an Identity of Andrews on Parity in Partitions

William Y. C. Chen, Daniel K. Du, Charles B. Mei

Following the method of combinatorial telescoping for alternating sums given by Chen, Hou and Mu, we present a combinatorial telescoping approach to partition identities on sums of…

Infinite Orders and Non-D-finite Property of 3-Dimensional Lattice Walks

Congruences of Multipartition Functions Modulo Powers of Primes

Combinatorial Telescoping for an Identity of Andrews on Parity in Partitions

Infinite Orders and Non- $D$ -finite Property of $3$ -Dimensional Lattice Walks