MacMahon's partition analysis. VIII: Plane partition diamonds

DOI10.1006/aama.2001.0733zbMath0992.05017OpenAlexW2062290851MaRDI QIDQ5956765

Axel Riese, George E. Andrews, Paule, Peter

Publication date: 11 September 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.2001.0733

zbMATH Keywords

partition analysisplane partition diamonds

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)

Related Items (15)

Polyhedral omega: a new algorithm for solving linear Diophantine systems ⋮ MacMahon’s Dream ⋮ Exact \(\mathcal{N} = 2^\ast\) Schur line defect correlators ⋮ On the divisibility of 7-elongated plane partition diamonds by powers of 8 ⋮ MacMahon's partition analysis. XIV: Partitions with \(n\) copies of \(n\) ⋮ Inequalities for the broken \(k\)-diamond partition functions ⋮ Using Rota's Umbral calculus to enumerate Stanley's \(P\)-partitions ⋮ Macmahon's partition analysis IX:K-gon partitions ⋮ On the parity of broken \(k\)-diamond partitions ⋮ Two congruences involving Andrews-Paule's broken 3-diamond partitions and 5-diamond partitions ⋮ Some congruences for Andrews-Paule's broken 2-diamond partitions ⋮ On \(P\)-partitions related to ordinal sums of posets ⋮ MacMahon's partition analysis XIII: Schmidt type partitions and modular forms ⋮ A congruence family for 2-elongated plane partitions: an application of the localization method ⋮ Parity results for broken 5-diamond, 7-diamond and 11-diamond partitions

Uses Software

• Omega

Cites Work

• MacMahon's partition analysis. VI: A new reduction algorithm
• MacMahon's partition analysis. II: Fundamental theorems
• MacMahon's partition analysis: The Omega package
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