A Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Term Identities

Details A Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Term Identities A Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Term Identities

2007-01-02

arxiv.org/abs/math/0701066v2

Mathematics

Combinatorics

20 pages

Scientific paper

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.

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