Overpartitions with restricted odd differences

zbMath1327.05022MaRDI QIDQ2517663

Jeremy Lovejoy, Kathrin Bringmann, Karl Mahlburg, Jehanne Dousse

Publication date: 27 August 2015

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i3p17

zbMATH Keywords

\(q\)-difference equationsoverpartitionsWright's circle methodmixed Mock modular forms

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)

Related Items (11)

Asymptotic behavior of odd-even partitions ⋮ Asymptotics for Bailey-type mock theta functions ⋮ Ramanujan congruences for overpartitions with restricted odd differences ⋮ Congruences for two restricted overpartitions ⋮ INFINITE FAMILIES OF CONGRUENCES FOR OVERPARTITIONS WITH RESTRICTED ODD DIFFERENCES ⋮ \texttt{qFunctions} -- a Mathematica package for \(q\)-series and partition theory applications ⋮ Congruences for overpartitions with restricted odd differences ⋮ Congruences for overpartitions with restricted odd differences ⋮ Sequences in Partitions, Double q-Series and the Mock Theta Function ρ3(q) ⋮ On weighted overpartitions related to some q-series in Ramanujan’s lost notebook ⋮ Congruences for Overpartition Pairs with Restricted Odd Differences

Cites Work

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• Rank and crank moments for overpartitions
• On the Fourier coefficients of certain modular forms of positive dimension
• K-RUN OVERPARTITIONS AND MOCK THETA FUNCTIONS
• Overpartitions and class numbers of binary quadratic forms
• Asymptotic Partition Formulae: (II) Weighted Partitions
• Partitions with short sequences and mock theta functions
• Mixed mock modular q-series
• Dyson's Rank, Overpartitions, and Weak Maass Forms
• The Fourier Coefficients of the Modular Invariant J(τ)

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