Singular overpartitions and partitions with prescribed hook differences

DOI10.1007/s00026-019-00466-3zbMath1433.05038OpenAlexW2987518198WikidataQ126800706 ScholiaQ126800706MaRDI QIDQ2299134

Ae Ja Yee, Seung-Hyun Seo

Publication date: 20 February 2020

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

Full work available at URL: https://doi.org/10.1007/s00026-019-00466-3

zbMATH Keywords

partitionsoverpartitionssuccessive rankssingular overpartitionsFrobenius symbolshook differences

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (2)

Truncated versions of three identities of Euler and Gauss ⋮ New truncated theorems for three classical theta function identities

Cites Work

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• Enumeration of partitions with prescribed successive rank parity blocks
• Partitions with prescribed hook differences
• Extension of the partition sieve
• A correspondence between partitions related to generalizations of the Rogers-Ramanujan identities
• A three-way correspondence between partitions
• Overpartitions and singular overpartitions
• Combinatorial proofs of generating function identities for F-partitions
• The Borwein conjecture and partitions with prescribed hook differences
• Singular overpartitions
• Generalized Frobenius partitions
• Overpartitions
• An Enumerative Proof of An Identity of Jacobi
• A new symmetry of partitions
• Sieves in the Theory of Partitions
• Cylindric Partitions

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