A unified elementary approach to the Dyson, Morris, Aomoto, and Forrester constant term identities |
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Authors: | Ira M. Gessel |
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Affiliation: | a Department of Mathematics, Brandeis University, Waltham, MA 02454-9110, USA b Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China |
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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. |
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Keywords: | Dyson conjecture Morris identity Constant term identity |
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