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

2007/01/02 by Ira M. Gessel, Gessel, Ira M., Lun Lv +5
Mathematics · #05A30(Primary) #33D70(Secondary) #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.math/0701066

openalex publication_date 2007/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A residue theorem for Malcev–Neumann series

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