A Residue Theorem for Malcev-Neumann Series

Simple item page
dc.creatorXin, Guoce
dc.date2004-09-11
dc.date2005-02-22
dc.date.accessioned2026-07-07T05:12:03Z
dc.date.available2026-07-07T05:12:03Z
dc.descriptionIn this paper, we establish a residue theorem for Malcev-Neumann series that requires few constraints, and includes previously known combinatorial residue theorems as special cases. Our residue theorem identifies the residues of two formal series that are related by a change of variables. We obtain simple conditions for when a change of variables is possible, and find that the two related formal series in fact belong to two different fields of Malcev-Neumann series. The multivariate Lagrange inversion formula is easily derived and Dyson's conjecture is given a new proof and generalized.
dc.description22 pages, extensive revision
dc.identifierhttps://arxiv.org/abs/math/0409190
dc.identifierhttp://arxiv.org/abs/math/0409190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72446
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject05E99; 32A05
dc.titleA Residue Theorem for Malcev-Neumann Series
dc.typetext

Files

Collections

arXiv