Ranks, cranks for overpartitions and Appell-Lerch sums

DOI10.1007/s11139-021-00403-0zbMath1490.11100OpenAlexW3157727771MaRDI QIDQ2075084

Houqing Fang, Olivia X. M. Yao, Min Bian, Xiao Qian Huang

Publication date: 11 February 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00403-0

zbMATH Keywords

rankstheta functionsoverpartitionsrank differencesAppell-Lerch sums

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (2)

New equalities and inequalities for the ranks and cranks of partitions ⋮ A characterization of congruences modulo 4 on a SPT function of overpartitions

Cites Work

• Dyson's ranks and Appell-Lerch sums
• Ranks of partitions modulo 10
• The generating functions of the rank and crank modulo 8
• Rank and crank moments for overpartitions
• The ranks and cranks of partitions moduli 2, 3, and 4
• On ranks and cranks of partitions modulo 4 and 8
• Ranks of overpartitions modulo 6 and 10
• Ranks of overpartitions: asymptotics and inequalities
• Rank and conjugation for the Frobenius representation of an overpartition
• The H and K Family of Mock Theta Functions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• Some Properties of Partitions
• On the Ranks of Partitions Modulo 9
• RANK DIFFERENCES FOR OVERPARTITIONS
• Dyson’s crank of a partition
• On the Rank and the Crank Modulo 4 and 8
• Overpartitions
• Ranks of overpartitions modulo 4 and 8
• Some Properties of Partitions
• Overpartition rank differences modulo 7 by Maass forms

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