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A general algorithm for the MacMahon Omega operator

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Publication:1424257
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DOI10.1007/s00026-003-0197-8zbMath1036.05005OpenAlexW2059684321MaRDI QIDQ1424257

Guo-Niu Han

Publication date: 11 March 2004

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-003-0197-8

zbMATH Keywords

Diophantine inequalitiespartition analysis


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15)


Related Items

Application of Hadamard product to some combinatorial and probabilistic problems, Partition analysis and symmetrizing operators, Matrix Analysis and Omega Calculus, Generating Functions of Weighted Voting Games, MacMahon’s Partition Analysis, and Clifford Algebras, On \(P\)-partitions related to ordinal sums of posets, Matrix computations with the Omega calculus


Uses Software

  • Maple
  • Mathematica
  • Omega
  • GenOmega


Cites Work

  • GenOmega
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