A Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Term Identities
Combinatorics
2008-03-14 v2 Commutative Algebra
Abstract
We introduce an elementary method to give unified proofs of the Dyson, Morris, and Aomoto identities for constant terms of Laurent polynomials. These identities can be expressed as equalities of polynomials and thus can be proved by verifying them for sufficiently many values, usually at negative integers where they vanish. Our method also proves some special cases of the Forrester conjecture.
Keywords
Cite
@article{arxiv.math/0701066,
title = {A Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Term Identities},
author = {Ira M. Gessel and Lun Lv and Guoce Xin and Yue Zhou},
journal= {arXiv preprint arXiv:math/0701066},
year = {2008}
}
Comments
20 pages