Generalization of Stanley's monster reciprocity theorem

DOI10.1016/j.jcta.2007.03.007zbMath1247.05018arXivmath/0504425OpenAlexW2095877511MaRDI QIDQ2459504

Guoce Xin

Publication date: 7 November 2007

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504425

zbMATH Keywords

Laurent serieslinear Diophantine systemMalcev-Neumann seriesreciprocity propertyElliott-rational functionStanley's monster reciprocity theorem

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Other combinatorial number theory (11B75) Linear Diophantine equations (11D04)

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Proving some conjectures on Kekulé numbers for certain benzenoids by using Chebyshev polynomials ⋮ A Euclid style algorithm for MacMahon's partition analysis

Cites Work

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• A residue theorem for Malcev-Neumann series.
• Irrational proofs for three theorems of Stanley
• Linear Diophantine equations and local cohomology
• A fast algorithm for MacMahon's partition analysis
• Linear homogeneous Diophantine equations and magic labelings of graphs
• Computing the Continuous Discretely
• Combinatorial reciprocity theorems

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