A Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Term Identities
Ira M. Gessel, Lun Lv, Guoce Xin, Yue Zhou
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.
Create a lesson
Related papers
Combinatorics of hyperplane arrangements and Witten zeta function at the origin
Kam Cheong Au, Kazuhiro Onodera
Proof of the Pach-Tardos conjecture
Lior Gishboliner, Xiangyu Li
Longest cycles intersect linearly in highly connected graphs
Jie Ma, Bo Ning, Ziyuan Zhao
Cutting a convex body into fat parts and approximating Euclidean distance by graph distances
János Pach, Gábor Tardos
A counterexample to the quantum Hedetniemi conjecture
Julius A. Zeiss
Schrijver-Delsarte rigidity in association schemes and undecidability of quantum graph homomorphism
Lorenzo Ciardo, Iris Hebbeker, Gideo Joubert et al.