The combinatorics of $k$-marked Durfee symbols

DOI10.1090/S0002-9947-2010-05136-0zbMath1234.11135arXiv0806.2599MaRDI QIDQ3082383

Kathy Qing Ji

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2599

zbMATH Keywords

partitionsDyson's rankrank momentsDurfee symbols

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (5)

On the positive moments of ranks of partitions ⋮ Arithmetic properties of odd ranks and \(k\)-marked odd Durfee symbols ⋮ SYMMETRY OF k-MARKED DURFEE SYMBOLS ⋮ Inequalities for odd ranks of odd Durfee symbols ⋮ Distribution of the full rank in residue classes for odd moduli

Cites Work

• Unnamed Item
• Unnamed Item
• A residue theorem for Malcev-Neumann series.
• On the explicit construction of higher deformations of partition statistics
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Distribution of the full rank in residue classes for odd moduli
• Plane partitions. III: The weak Macdonald conjecture
• Relations between the ranks and cranks of partitions
• Some observations on Dyson's new symmetries of partitions
• A fast algorithm for MacMahon's partition analysis
• Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols
• A short proof of the Zeilberger-Bressoud $q$-Dyson theorem
• Partition Statistics and Quasiharmonic Maass Forms
• A new symmetry of partitions
• The Final Problem : An Account of the Mock Theta Functions
• Some Properties of Partitions

This page was built for publication: The combinatorics of $k$-marked Durfee symbols