Modulo d extension of parity results in Rogers–Ramanujan–Gordon type overpartition identities

DOI10.1142/s1793042123500884zbMath1519.05022arXiv2211.04749MaRDI QIDQ6133822

Mohammad Zadehdabbagh, Kağan Kurşungöz

Publication date: 21 August 2023

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

Full work available at URL: https://arxiv.org/abs/2211.04749

zbMATH Keywords

integer partitionoverpartitionpartition generating functionRogers-Ramanujan type partition identity

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parity in partition identities
• A generalization of the Rogers-Ramanujan identities for all moduli
• Parity considerations in Rogers-Ramanujan-Gordon type overpartitions
• Partially ordered sets and the Rogers-Ramanujan identities
• Gordon's theorem for overpartitions.
• Andrews style partition identities
• The Rogers-Ramanujan-Gordon theorem for overpartitions
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• Overpartitions
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities
• 2-colored Rogers-Ramanujan partition identities