Dyson's new symmetry and generalized Rogers-Ramanujan identities

DOI10.1007/s00026-010-0055-4zbMath1233.05036arXivmath/0607138OpenAlexW1992097761MaRDI QIDQ659589

Cilanne E. Boulet

Publication date: 24 January 2012

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607138

zbMATH Keywords

bijectioninteger partitionDyson's rankRogers-Ramanujan identitySchur's identitysuccessive Durfee squares

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (1)

Partition identities and quiver representations

Cites Work

• Unnamed Item
• A generalization of the Rogers-Ramanujan identities for all moduli
• Partition bijections, a survey
• An easy proof of the Rogers-Ramanujan identities
• Partitions with prescribed hook differences
• Extension of the partition sieve
• A short Rogers-Ramanujan bijection
• Generalization of Dyson's rank and non-Rogers-Ramanujan partitions
• Generalized Rogers-Ramanujan bijections
• Some observations on Dyson's new symmetries of partitions
• Variants of the Rogers-Ramanujan identities
• A combinatorial proof of the Rogers--Ramanujan and Schur identities
• Partitions and Durfee Dissection
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• An Enumerative Proof of An Identity of Jacobi
• A new symmetry of partitions
• Sieves in the Theory of Partitions

This page was built for publication: Dyson's new symmetry and generalized Rogers-Ramanujan identities