The quantum MacMahon Master Theorem

DOI10.1073/pnas.0606003103zbMath1170.05012arXivmath/0303319OpenAlexW2128057344WikidataQ34565317 ScholiaQ34565317MaRDI QIDQ5385890

Doron Zeilberger, Stavros Garoufalidis, Le Ty Kuok Tkhang

Publication date: 7 May 2008

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303319

zbMATH Keywords

MacMahon's Master TheoremBoson-Fermion CorrespondenceRight-Quantum Matrices

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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Cites Work

• A holonomic systems approach to special functions identities
• The Algebra of Linear Partial Difference Operators and Its Applications
• A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs