Macmahon's partition analysis IX:K-gon partitions

DOI10.1017/S0004972700039988zbMath0995.05007OpenAlexW2146209314MaRDI QIDQ2758195

Paule, Peter, Axel Riese, George E. Andrews

Publication date: 23 October 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700039988

zbMATH Keywords

generating functionpartition analysissummationOmega packagetriangles

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items

Polyhedral omega: a new algorithm for solving linear Diophantine systems ⋮ MacMahon’s Dream ⋮ Mahonian Partition Identities via Polyhedral Geometry ⋮ Partition analysis and symmetrizing operators ⋮ INTEGER POLYGONS OF GIVEN PERIMETER ⋮ Enumeration of the degree sequences of non-separable graphs and connected graphs ⋮ On \(P\)-partitions related to ordinal sums of posets ⋮ MacMahon partition analysis: a discrete approach to broken stick problems

Uses Software

• Omega

Cites Work

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• A Note on Partitions and Triangles With Integer Sides
• Triangles with Integer Sides
• MacMahon's partition analysis. II: Fundamental theorems
• MacMahon's partition analysis. VIII: Plane partition diamonds