Multi-sum Rogers-Ramanujan type identities
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Publication:2688686
DOI10.1016/j.jmaa.2022.126960OpenAlexW4313334058MaRDI QIDQ2688686
Publication date: 3 March 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.12786
partitionsintegral methodRogers-Ramanujan type identitiesKanade-Russell identitiessum-product identities
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)
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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
- Constant terms, jagged partitions, and partitions with difference two at distance two
- The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation
- A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities
- On some representations of twisted affine Lie algebras and combinatorial identities
- Generalizations of Schur's partition theorem
- Asymmetric generalizations of Schur's theorem
- Reflecting (on) the modulo 9 Kanade-Russell (conjectural) identities
- Proofs and reductions of various conjectured partition identities of Kanade and Russell
- 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
- IdentityFinder and Some New Identities of Rogers–Ramanujan Type
- A Combinatorial Generalization of the Rogers-Ramanujan Identities
- Sequences in Partitions, Double q-Series and the Mock Theta Function ρ3(q)
- Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
- On the general Rogers-Ramanujan theorem
- Schur's Partition Theorem, Companions, Refinements and Generalizations
- Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_2$
- Generalizations of Capparelli's identity
- Ramanujan's Lost Notebook
- Further Identities of the Rogers-Ramanujan Type
- Asymmetric Rogers–Ramanujan type identities. I. The Andrews–Uncu conjecture
- Sequences in overpartitions
- Proofs of some partition identities conjectured by Kanade and Russell