Generalizations of Dyson’s rank on overpartitions

DOI10.1142/S1793042122500397zbMath1494.11081arXiv2108.08639OpenAlexW3198415510MaRDI QIDQ5863772

Alice Xiao Hua Zhao

Publication date: 3 June 2022

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

Full work available at URL: https://arxiv.org/abs/2108.08639

zbMATH Keywords

partitionsmock theta functionsoverpartitionsDyson's rank

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Cites Work

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• An extension to overpartitions of the Rogers-Ramanujan identities for even moduli
• Generalization of Dyson's rank and non-Rogers-Ramanujan partitions
• Overpartitions, lattice paths, and Rogers-Ramanujan identities
• Rank and conjugation for the Frobenius representation of an overpartition
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Partitions and Durfee Dissection
• Overpartitions
• Mixed mock modular q-series
• Some Properties of Partitions

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