Constant terms of near-Dyson polynomials

zbMath1439.11058MaRDI QIDQ1991419

Alexey Gordeev

Publication date: 30 October 2018

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i4p11

zbMATH Keywords

\(q\)-identitiescombinatorial NullstellensatzDyson conjectureconstant terms identities

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65)

Cites Work

• Unnamed Item
• A generalization of combinatorial Nullstellensatz
• Algebraically solvable problems: describing polynomials as equivalent to explicit solutions
• A proof of Andrews' \(q\)-Dyson conjecture
• Double affine Hecke algebras and Macdonald's conjectures
• Partitions of nonzero elements of a finite field into pairs
• A new approach to constant term identities and Selberg-type integrals
• Constant term identities and Poincaré polynomials
• A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem
• Statistical Theory of the Energy Levels of Complex Systems. I
• The importance of the Selberg integral
• Constant Term Identities Extending the q-Dyson Theorem
• Combinatorial Nullstellensatz
• Proof of a Conjecture by Dyson

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