A Generalization of Stanley's Monster Reciprocity Theorem

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dc.creatorXin, Guoce
dc.date2005-04-21
dc.date.accessioned2026-07-07T05:19:17Z
dc.date.available2026-07-07T05:19:17Z
dc.descriptionBy 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.
dc.description22 pages, 1 figures
dc.identifierhttps://arxiv.org/abs/math/0504425
dc.identifierhttp://arxiv.org/abs/math/0504425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74968
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject05A15; 05E99
dc.titleA Generalization of Stanley's Monster Reciprocity Theorem
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