Shift-plethystic trees and Rogers-Ramanujan identities

DOI10.1007/s11139-020-00285-8zbMath1470.05022arXiv2004.05503OpenAlexW3044611299MaRDI QIDQ2046854

Miguel A. Méndez

Publication date: 19 August 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05503

zbMATH Keywords

Rogers-Ramanujan identitiesinteger compositionsnon-commutative series

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

• Colored species, \(c\)-monoids, and plethysm. I
• A Rogers-Ramanujan bijection
• A short Rogers-Ramanujan bijection
• Une théorie combinatoire des séries formelles
• Noncommutative Catalan numbers
• Applications of q-Lagrange Inversion to Basic Hypergeometric Series
• Operator Methods and Lagrange Inversion: A Unified Approach to Lagrange Formulas
• A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
• Identities in Combinatorics. II: A q-Analog of the Lagrange Inversion Theorem
• Koszul Resolutions
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