Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Terms
نویسندگان
چکیده
We introduce an elementary method using only property of polynomials to give unified proofs of the Dyson, Morris, and Aomoto constant term identities. Such constant terms are polynomial in one parameter when fixing the others, and hence can be proved by finding the roots. When applying our method to the Forrester conjecture, we confirm many roots. As consequences, we reprove the cases N1 = 2, 3 and N1 = N − 1 in a short way.
منابع مشابه
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.
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تاریخ انتشار 2006