Reflecting (on) the modulo 9 Kanade-Russell (conjectural) identities

zbMath1499.11311arXiv2106.02959MaRDI QIDQ2099398

Ali Kemal Uncu, Wadim Zudilin

Publication date: 23 November 2022

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.02959

zbMATH Keywords

polynomial identitiesexperimental mathematicsCapparelli's identitiesgenerating functions of partitionsKanade-Russell conjectures

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (3)

New proofs of some double sum Rogers-Ramanujan type identities ⋮ Principal subspaces of basic modules for twisted affine Lie algebras, \(q\)-series multisums, and Nandi's identities ⋮ Multi-sum Rogers-Ramanujan type identities

Uses Software

• recpf

Cites Work

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• Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type
• A generalization of the Rogers-Ramanujan identities for all moduli
• Generalized Rogers-Ramanujan bijections
• Finite Rogers-Ramanujan type identities
• On double sum generating functions in connection with some classical partition theorems
• \texttt{qFunctions} -- a Mathematica package for \(q\)-series and partition theory applications
• Elementary polynomial identities involving \(q\)-trinomial coefficients
• Andrews-Gordon type series for Kanade-Russell conjectures
• Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities
• Polynomial identities implying Capparelli's partition theorems
• The hard-hexagon model and Rogers—Ramanujan type identities
• IdentityFinder and Some New Identities of Rogers–Ramanujan Type
• Some identities for terminating q-series
• A combinatorial proof of a partition identity related to the level 3 representations of a twisted affine lie algebra
• A polynomial identity implying Schur’s partition theorem

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