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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…