Rank differences for overpartitions modulo $6$

DOI10.1090/proc/15075zbMath1446.33010OpenAlexW3008815340MaRDI QIDQ5117329

Bin Wei, Helen W. J. Zhang

Publication date: 20 August 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15075

zbMATH Keywords

rank differencesoverpartitiongeneralized Lambert series

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (1)

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

Cites Work

• Unnamed Item
• Ranks of partitions modulo 10
• The ranks and cranks of partitions moduli 2, 3, and 4
• Ranks of overpartitions modulo 6 and 10
• Ranks of overpartitions: asymptotics and inequalities
• The \(M_{2}\)-rank of partitions without repeated odd parts modulo 6 and 10
• 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
• An Identity Relating a Theta Function to a Sum of Lambert Series
• The Crank of Partitions Mod 8, 9 and 10
• RANK DIFFERENCES FOR OVERPARTITIONS
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson's Rank, Overpartitions, and Weak Maass Forms
• Generalized Lambert series identities
• On the Transformation Theory of Hypergeometric Functions and Cognate Trigonometrical Series
• Overpartition rank differences modulo 7 by Maass forms

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