4 papers
-Pairing: A Generalization of the Partition Pairing Theorems
Xiaorui Niu, Diane Y. H. Shi
We extend the partition pairing theory of Andrews and Dastidar by replacing pairs with groups of equal parts. Two weight-preserving bijections give combinatorial interpretation…
An Andrews-Gordon Type Identity Related to Andrews' Parity Consideration
Robert X. J. Hao, Xiaorui Niu, Doris D. M. Sang +1
Andrews investigated parity conditions in the Rogers-Ramanujan-Gordon theorem. Under the conditions that even parts or odd parts appear an even number of times, Andrews discovered…
Lattice paths and Rogers--Ramanujan--Gordon type overpartitions
Diane Y. H. Shi
In this paper, we establish a connection between Rogers-Ramanujan-Gordon type overpartitions to lattice paths with four kinds of unitary steps. By establishing the bijective relati…
Lattice paths and the Rogers--Ramanujan--Gordon type theorems with parity considerations
Diane Y. H. Shi
Andrews imposed parity restrictions on the Rogers-Ramanujan-Gordon type partitions, yielding fruitful results. These results were later, advanced by Kurşungöz, Kim, and Yee. In thi…