Name: Constant Terms of Near-Dyson Polynomials
Creator: Gordeev, Alexey
Keywords: Binomial coefficients; factorials; \(q\)-identities, Dyson conjecture, combinatorial Nullstellensatz, 0101 mathematics, \(q\)-identities, 01 natural sciences, constant terms identities

Constant terms of near-Dyson polynomials

descriptionPublicationkeyboard_double_arrow_right Article 19 Oct 2018Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 25 (eissn: 1077-8926,

Authors: Gordeev, Alexey;

doi: 10.37236/7087

Constant Terms of Near-Dyson Polynomials

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Abstract

We formulate and prove a formula for the constant term for a certain class of Laurent polynomials, which include the Dyson conjecture and its generalizations by Bressoud and Goulden. Our method is explicit Combinatorial Nullstellensatz.

Related Organizations

Department of Mathematical Sciences
Russian Federation
Steklov Mathematical Institute
Russian Federation

Keywords

Binomial coefficients; factorials; \(q\)-identities, Dyson conjecture, combinatorial Nullstellensatz, \(q\)-identities, constant terms identities

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