A simple proof of the Zeilberger-Bressoud q-Dyson theorem

Abstract

As an application of the Combinatorial Nullstellensatz, we give a short polynomial proof of the q-analogue of Dyson's conjecture formulated by Andrews and first proved by Zeilberger and Bressoud.

References in corpus (4)

• A generalization of Combinatorial Nullstellensatz
• A new approach to constant term identities and Selberg-type integrals
• Partitions of nonzero elements of a finite field into pairs
• Constant term identities and Poincare polynomials

Cited by in corpus (9)

• A new approach to constant term identities and Selberg-type integrals
• On the $q$-Dyson orthogonality problem
• Constant term identities and Poincare polynomials
• Residues and the Combinatorial Nullstellensatz
• A Laurent series proof of the Habsieger-Kadell $q$-Morris Identity
• A recursion for a symmetric function generalization of the $q$-Dyson constant term identity
• Additive Combinatorics Using Equivariant Cohomology
• A symmetric function generalization of the Zeilberger--Bressoud $q$-Dyson theorem
• Polynomial Approach to Explicit Formulae for Generalized Binomial Coefficients