Neighborly partitions, hypergraphs and Gordon's identities

DOI10.1016/j.jcta.2024.105963MaRDI QIDQ6650525

Pooneh Afsharijoo, Hussein Mourtada

Publication date: 9 December 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

graded algebrashypergraphsHilbert seriesinteger partitionsAndrews-Gordon's identities

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Hypergraphs (05C65) Partition identities; identities of Rogers-Ramanujan type (11P84) Homological methods in commutative ring theory (13Dxx)

Cites Work

• Unnamed Item
• Graded syzygies
• Vertex-algebraic structure of the principal subspaces of certain \(A_1^{(1)}\)-modules. II: Higher-level case
• A motivated proof of Gordon's identities
• Arc spaces and the Rogers-Ramanujan identities
• Looking for a new version of Gordon's identities
• New companions to the Andrews-Gordon identities motivated by commutative algebra
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• Combinatorial Commutative Algebra
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• Monomial Ideals
• Neighborly partitions and the numerators of Rogers–Ramanujan identities
• New companions to Gordon identities from commutative algebra
• Jet schemes and their applications in singularities, toric resolutions and integer partitions

Related Items (1)

Hilbert meets Ramanujan: singularity theory and integer partitions

This page was built for publication: Neighborly partitions, hypergraphs and Gordon's identities