4 papers
On b-ary binomial coefficients with negative entries
Lin Jiu, Diane Y. H. Shi
Abstract. We generalize the -ary binomial coefficients with negative entries, which is based on the generating function obtained in early work. Besides an explicit expression in…
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…