MacMahon’s Dream

DOI10.1007/978-1-4614-0028-8_1zbMath1242.05016OpenAlexW296665642MaRDI QIDQ2897225

Paule, Peter, George E. Andrews

Publication date: 10 July 2012

Published in: Partitions, q-Series, and Modular Forms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-0028-8_1

zbMATH Keywords

generating functionsplane partitionsMacMahon's partition analysis

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Algebraic combinatorics (05E99) Elementary theory of partitions (11P81)

Related Items (1)

Generating Functions of Weighted Voting Games, MacMahon’s Partition Analysis, and Clifford Algebras

Cites Work

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• The enumeration of plane partitions via the Burge correspondence
• MacMahon's partition analysis. IV: Hypergeometric multisums
• MacMahon's partition analysis. VI: A new reduction algorithm
• Four correspondences between graphs and generalized Young tableaux
• A fast algorithm for MacMahon's partition analysis
• The conjugate trace and trace of a plane partition
• Macmahon's partition analysis IX:K-gon partitions
• MacMahon's partition analysis XI: Broken diamonds and modular forms
• MacMahon's partition analysis XII: Plane partitions
• MacMahon's partition analysis. II: Fundamental theorems
• MacMahon's partition analysis: The Omega package
• MacMahon's partition analysis. VIII: Plane partition diamonds

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