Dyson’s rank, overpartitions, and universal mock theta functions

DOI10.4153/S0008439520000752zbMath1482.11143OpenAlexW3084305682MaRDI QIDQ5152509

Helen W. J. Zhang

Publication date: 24 September 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439520000752

zbMATH Keywords

overpartitionsAppell-Lerch sumsDyson's rankuniversal mock theta functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (2)

Efficient computation of the overpartition function and applications ⋮ On odd ranks of odd Durfee symbols

Cites Work

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• Dyson's ranks and Appell-Lerch sums
• Dyson's ranks and Maass forms
• A proof of the mock theta conjectures
• On the seventh order mock theta functions
• Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
• Tenth order mock theta functions in Ramanujan's lost notebook
• The \(f(q)\) mock theta function conjecture and partition ranks
• Rank and conjugation for the Frobenius representation of an overpartition
• A Survey of Classical Mock Theta Functions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• RANK DIFFERENCES FOR OVERPARTITIONS
• Overpartitions
• The generating function of the $M_2$-rank of partitions without repeated odd parts as a mock modular form
• Rank differences for overpartitions modulo $6$
• Dyson's Rank, Overpartitions, and Weak Maass Forms
• Some Properties of Partitions

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