Partitions with non-repeating odd parts and combinatorial identities

DOI10.1007/S00026-015-0291-8zbMath1332.05012OpenAlexW2257591194MaRDI QIDQ259711

Krishnaswami Alladi

Publication date: 18 March 2016

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-015-0291-8

zbMATH Keywords

partitions2-modular Ferrers graphsbasis partitionsGöllnitz-Gordon partitionsnon-repeating odd partssliding operationsuccessive ranks

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)

Related Items (9)

Generalization of five \(q\)-series identities of Ramanujan and unexplored weighted partition identities ⋮ A further look at cubic partitions ⋮ Partition implications of a three-parameter \(q\)-series identity ⋮ 4-regular partitions and the pod function ⋮ Variation on a theme of Nathan Fine. New weighted partition identities ⋮ An overpartition analogue of \(q\)-binomial coefficients. II: Combinatorial proofs and \((q,t)\)-log concavity ⋮ Euler's partition theorem for all moduli and new companions to Rogers-Ramanujan-Andrews-Gordon identities ⋮ Multiranks and classical theta functions ⋮ Basis partition polynomials, overpartitions and the Rogers-Ramanujan identities

Cites Work

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• Basis partitions and Rogers-Ramanujan partitions
• On the modified convergence of some continued fractions of Rogers- Ramanujan type
• Basis partitions
• Some variants of Ferrers diagrams
• Some observations on Dyson's new symmetries of partitions
• Basis partition polynomials, overpartitions and the Rogers-Ramanujan identities
• Some continued fractions of the Rogers-Ramanujan type
• Two theorems of Gauss and allied identities proved arithmetically
• Further Problems on Partitions
• CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
• Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities
• Partition identities involving gaps and weights
• Some New Observations on the Gollnitz-Gordon and Rogers-Ramanujan Identities
• A Generalization of the Gollnitz-Gordon Partition Theorems
• Partitionen mit Differenzenbedingungen.

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