The butterfly sequence: the second difference sequence of the numbers of integer partitions with distinct parts

DOI10.1016/J.JNT.2018.05.005zbMath1436.11124OpenAlexW2809448348WikidataQ114157310 ScholiaQ114157310MaRDI QIDQ1668850

Cristiano Husu

Publication date: 29 August 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.05.005

zbMATH Keywords

combinatorial identitiesJacobi identityLie algebrasvertex operatorscomputer algebra algorithmsEuler pentagonal number theoreminteger partions

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)

Cites Work

• Unnamed Item
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation
• On some representations of twisted affine Lie algebras and combinatorial identities
• Generalized vertex algebras and relative vertex operators
• Level three standard modules \(A^{(2)}_ 2\) and combinatorial identities
• The algebraic structure of relative twisted vertex operators
• The Jacobi Identity for Relative Twisted Vertex Operators Associated with the Roots of the Lie Algebras and , and the Generating Function Identities for Level-kStandard and -Modules
• Extensions of the Jacobi identity for vertex operators, and standard 𝐴⁽¹⁾₁-modules
• Coding the principal character formula for affine Kac-Moody lie algebras
• A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type

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