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MacMahon's partition analysis XII: Plane partitions

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Publication:5436513
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DOI10.1112/jlms/jdm079zbMath1137.05008OpenAlexW2063146964MaRDI QIDQ5436513

Paule, Peter, George E. Andrews

Publication date: 16 January 2008

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

Full work available at URL: https://doi.org/10.1112/jlms/jdm079


zbMATH Keywords

partition analysisGansner's theoremStanley's trace formula


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)


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Polyhedral omega: a new algorithm for solving linear Diophantine systems ⋮ MacMahon’s Dream ⋮ COCHARACTERS OF POLYNOMIAL IDENTITIES OF UPPER TRIANGULAR MATRICES ⋮ Enumeration of plane partitions with a restricted number of parts ⋮ Generating functions for colored 3D Young diagrams and the Donaldson-Thomas invariants of orbifolds ⋮ Recurrence relation with two indices and plane compositions ⋮ On \(P\)-partitions related to ordinal sums of posets



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