Generalizations of Capparelli's identity

DOI10.1112/blms.12218zbMath1430.11144arXiv1702.07249OpenAlexW3098476951MaRDI QIDQ5229519

Jeremy Lovejoy, Jehanne Dousse

Publication date: 15 August 2019

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07249

zbMATH Keywords

generating functionoverpartitionpartition identityCapparelli's identitydifference conditionjagged overpartition

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (11)

A unifying combinatorial approach to refined little Göllnitz and Capparelli's companion identities ⋮ Generalisations of Capparelli's and Primc's identities. I: Coloured Frobenius partitions and combinatorial proofs ⋮ Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities ⋮ Proofs and reductions of various conjectured partition identities of Kanade and Russell ⋮ Proofs of some partition identities conjectured by Kanade and Russell ⋮ Multi-sum Rogers-Ramanujan type identities ⋮ Weighted words at degree two. I: Bressoud's algorithm as an energy transfer ⋮ New infinite hierarchies of polynomial identities related to the Capparelli partition theorems ⋮ \texttt{qFunctions} -- a Mathematica package for \(q\)-series and partition theory applications ⋮ On partition identities of Capparelli and Primc ⋮ Some partition and analytical identities arising from the Alladi, Andrews, Gordon bijection

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new companion to Capparelli's identities
• Constant terms, jagged partitions, and partitions with difference two at distance two
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities
• On some representations of twisted affine Lie algebras and combinatorial identities
• Asymmetric generalizations of Schur's theorem
• A unifying combinatorial approach to refined little Göllnitz and Capparelli's companion identities
• On series expansions of Capparelli's infinite product
• Refinements and generalizations of Capparelli's conjecture on partitions
• Level three standard modules \(A^{(2)}_ 2\) and combinatorial identities
• False theta functions and companions to Capparelli's identities
• Jagged partitions
• Twisted sl(3,C)˜-modules and combinatorial identities
• A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type
• A THEOREM ON SEVEN-COLORED OVERPARTITIONS AND ITS APPLICATIONS

This page was built for publication: Generalizations of Capparelli's identity