Parity considerations in Rogers-Ramanujan-Gordon type overpartitions

DOI10.1016/j.jnt.2020.02.010zbMath1444.05015OpenAlexW3011418104MaRDI QIDQ784290

Ae Ja Yee, Doris D. M. Sang, Diane Y. H. Shi

Publication date: 3 August 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.02.010

zbMATH Keywords

overpartitionsparityRogers-Ramanujan-Gordon theoremAndrews-Gordon identity

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (2)

Modulo d extension of parity results in Rogers–Ramanujan–Gordon type overpartition identities ⋮ Overpartition analogues for the generalized Rogers-Ramanujan identities of Bressoud

Cites Work

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• The Rogers-Ramanujan-Gordon identities, the generalized Göllnitz-Gordon identities, and parity questions
• Parity in partition identities
• A generalization of the Rogers-Ramanujan identities for all moduli
• Multiple series Rogers-Ramanujan type identities
• Parity considerations in Andrews-Gordon identities
• The Rogers-Ramanujan-Gordon theorem for overpartitions
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities
• Change of base in Bailey pairs

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