3 papers
math.CO2026
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…
math.CO2023
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…
math.CO2023
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…