Pairs of partitions without repeated odd parts

DOI10.1016/j.jmaa.2012.04.030zbMath1294.11182OpenAlexW2051099188MaRDI QIDQ439277

Song Heng Chan, Renrong Mao

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.030

zbMATH Keywords

rankcongruencepartition pairs\(q\)-series identities

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (12)

Asymptotic formulas for \(M_{2}\)-ranks of partitions without repeated odd parts ⋮ Comment on ``Some congruence properties of a restricted bipartition function \(c_N(n)\) ⋮ Congruences for (3,11)-regular bipartitions modulo 11 ⋮ Arithmetic properties of bipartitions with 3-cores ⋮ Ramanujan type identities and congruences for partition pairs ⋮ On recursions for coefficients of mock theta functions ⋮ INFINITE FAMILIES OF CONGRUENCES MODULO 3 AND 9 FOR BIPARTITIONS WITH 3-CORES ⋮ Some results on bipartitions with 3-core ⋮ Arithmetic properties of a restricted bipartition function ⋮ Arithmetic properties of bipartitions with even parts distinct ⋮ Multiranks and classical theta functions ⋮ Combinatorial identities associated with a bivariate generating function for overpartition pairs

Cites Work

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• Ramanujan type identities and congruences for partition pairs
• Congruences for bipartitions with odd parts distinct
• Some congruences for Andrews-Paule's broken 2-diamond partitions
• \(M_2\)-rank differences for partitions without repeated odd parts
• Overpartition pairs and two classes of basic hypergeometric series
• RANK AND CONGRUENCES FOR OVERPARTITION PAIRS
• A Bailey lattice
• Generalized Lambert series identities

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