A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem
Copyright policy )A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem
As an application of the Combinatorial Nullstellensatz, we give a short polynomial proof of the q q -analogue of Dyson’s conjecture formulated by Andrews and first proved by Zeilberger and Bressoud.
- University of Queensland Australia
- Alfréd Rényi Institute of Mathematics Hungary
- Eötvös Loránd University Hungary
- University of Queensland Australia
- Hungarian Academy of Sciences Hungary
Root Systems, Exact enumeration problems, generating functions, Constant term identities, Combinatorial Nullstellensatz, Laurent polynomials, 2604 Applied Mathematics, Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-calculus and related topics, 2600 Mathematics, FOS: Mathematics, Mathematics - Combinatorics, combinatorial nullstellensatz, Dyson's conjecture, Combinatorics (math.CO), Basic hypergeometric integrals and functions defined by them, constant term identities
Root Systems, Exact enumeration problems, generating functions, Constant term identities, Combinatorial Nullstellensatz, Laurent polynomials, 2604 Applied Mathematics, Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-calculus and related topics, 2600 Mathematics, FOS: Mathematics, Mathematics - Combinatorics, combinatorial nullstellensatz, Dyson's conjecture, Combinatorics (math.CO), Basic hypergeometric integrals and functions defined by them, constant term identities
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