activity
20102026
most citedThe Rogers-Ramanujan-Gordon Theorem for Overpartitions

20 citations · 20 across the 8 of their papers we have counts for

collaborators

9 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.CO2018

Combinatorial Proofs of Two Overpartition Theorems Connected by a Universal Mock Theta Function

Doris D. M. Sang, Diane Y. H. Shi

In 2015, Bringmann, Lovejoy and Mahlburg considered certain kinds overpartitions, which can been seen as the overpartition analogue of Schur's partition. The motivation of their wo…

math.CO2018

Parity Considerations in Rogers-Ramanujan-Gordon Type Overpartitions

Doris D. M. Sang, Diane Y. H. Shi

In 2010, Andrews considers a variety of parity questions connected to classical partition identities of Euler, Rogers, Ramanujan and Gordon. As a large part in his paper, Andrews c…

math.CO2017

Congruences modulo for Rogers--Ramanujan--Gordon type overpartitions

Doris D. M. Sang, Diane Y. H. Shi

In a recent work, Andrews defined the singular overpartitions with the goal of presenting an overpartition analogue to the theorems of Rogers--Ramanujan type for ordinary partition…

math.CO2017

Overpartitions Identities Involving Gaps and Weights

Jeremy J. F. Guo, Doris D. M. Sang, Diane Y. H. Shi

In this paper, we find an identity which connects the overpartition function and the function of Rogers--Ramanujan--Gordon type overpartitions by considering the weights and gaps.…

math.CO2012

An Overpartition Analogue of Bressoud's Theorem of Rogers-Ramanujan Type

William Y. C. Chen, Doris D. M. Sang, Diane Y. H. Shi

For , let denote the number of partitions of such that part 1 appears at most times, two consecutive integers l and appear at most …