New weighted partition theorems with the emphasis on the smallest part of partitions

DOI10.1007/978-3-319-68376-8_6zbMath1393.05042arXiv1608.00193OpenAlexW2963983549MaRDI QIDQ1644605

Alexander Berkovich, Ali Kemal Uncu

Publication date: 21 June 2018

Full work available at URL: https://arxiv.org/abs/1608.00193

zbMATH Keywords

overpartitionspartition identities\(q\)-hypergeometric identitiesJackson's transformationRamanujan's lost notebookssmallest part of partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (5)

Berkovich-Uncu type partition inequalities concerning impermissible sets and perfect power frequencies ⋮ On conjectures concerning the smallest part and missing parts of integer partitions ⋮ Some elementary partition inequalities and their implications ⋮ Euler's partition theorem for all moduli and new companions to Rogers-Ramanujan-Andrews-Gordon identities ⋮ On a Weighted Spin of the Lebesgue Identity

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