Overpartition pairs

DOI10.5802/aif.2199zbMath1147.11061OpenAlexW2322297859MaRDI QIDQ2372762

Jeremy Lovejoy

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2006__56_3_781_0

zbMATH Keywords

partitionsbasic hypergeometric seriesoverpartitionsBailey chains

Mathematics Subject Classification ID

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

Related Items (12)

New congruences for \(\ell\)-regular overpartition pairs ⋮ Partition identities arising from Ramanujan's formulas for multipliers ⋮ Partitions with rounded occurrences and attached parts ⋮ N≥ 𝟐 symmetric superpolynomials ⋮ Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions ⋮ An extension to overpartitions of the Rogers-Ramanujan identities for even moduli ⋮ Multiplicative $q$-hypergeometric series arising from real quadratic fields ⋮ Arithmetic properties of $\ell$-regular overpartition pairs ⋮ Overpartition pairs and two classes of basic hypergeometric series ⋮ An overpartition analogue of Bressoud's theorem of Rogers-Ramanujan-Gordon type ⋮ RANK AND CONGRUENCES FOR OVERPARTITION PAIRS ⋮ Unnamed Item

Cites Work

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• ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
• A New Proof of Rogers's Transformations of Infinite Series

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