A Generalization of Stanley's Monster Reciprocity Theorem
Combinatorics
2007-05-23 v1 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.math/0504425,
title = {A Generalization of Stanley's Monster Reciprocity Theorem},
author = {Guoce Xin},
journal= {arXiv preprint arXiv:math/0504425},
year = {2007}
}
Comments
22 pages, 1 figures