The Rogers-Ramanujan-Gordon theorem for overpartitions

DOI10.1112/plms/pds056zbMath1268.05021arXiv1108.5792OpenAlexW3103359095MaRDI QIDQ2840181

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

Publication date: 17 July 2013

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5792

zbMATH Keywords

Andrews' identityGordon marking of an overpartition

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (17)

2-colored Rogers-Ramanujan partition identities ⋮ The first positive rank and crank moments for overpartitions ⋮ Bressoud style identities for regular partitions and overpartitions ⋮ Overpartitions and Bressoud's conjecture. I ⋮ Linked partition ideals and a family of quadruple summations ⋮ Modulo d extension of parity results in Rogers–Ramanujan–Gordon type overpartition identities ⋮ Overpartitions and Bressoud's conjecture. II ⋮ An Andrews-Gordon type identity for overpartitions ⋮ On the number of l-regular overpartitions ⋮ An overpartition analogue of the \(q\)-binomial coefficients ⋮ The Bressoud-Göllnitz-Gordon theorem for overpartitions of even moduli ⋮ An overpartition analogue of the Andrews-Göllnitz-Gordon theorem ⋮ An overpartition analogue of Bressoud's theorem of Rogers-Ramanujan-Gordon type ⋮ Andrews style partition identities ⋮ Combinatorial proofs and generalization of Bringmann, Lovejoy and Mahlburg's overpartition theorems ⋮ Overpartition analogues for the generalized Rogers-Ramanujan identities of Bressoud ⋮ Parity considerations in Rogers-Ramanujan-Gordon type overpartitions

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