4 papers · 1 filter
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…
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…
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…
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…