A Generalization of Stanley's Monster Reciprocity Theorem

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By studying the reciprocity property of linear Diophantine systems in light of Malcev-Neumann series, we present in this paper a new approach to and a generalization of Stanley's monster reciprocity theorem. A formula for the "error term" is given in the case when the system does not have the reciprocity property. We also give a short proof of Stanley's reciprocity theorem for linear homogeneous Diophantine systems.
22 pages, 1 figures

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Combinatorics, Commutative Algebra, 05A15; 05E99

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http://salesiana.dossiersoluciones.com/handle/123456789/74968

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504425
 http://arxiv.org/abs/math/0504425

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arXiv