144 research outputs found
A Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Term Identities
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.Comment: 20 page
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