Unimodality of Gaussian polynomials

DOI10.1016/0012-365X(92)90361-IzbMath0771.05002MaRDI QIDQ1191938

David M. Bressoud

Publication date: 27 September 1992

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Gaussian polynomialsunimodality

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Permutations, words, matrices (05A05) Elementary theory of partitions (11P81)

Related Items

A \(q\)-analog of approximation inclusion-exclusion ⋮ A Unified Approach to Unimodality of Gaussian Polynomials ⋮ From partition identities to a combinatorial approach to explicit Satake inversion ⋮ On parity unimodality of \(q\)-Catalan polynomials ⋮ Semi-invariants of binary forms pertaining to a unimodality theorem of Reiner and Stanton

Cites Work

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• Unimodality of Gaussian coefficients: A constructive proof
• Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients
• Monotonicity and unimodality of the pattern inventory
• The Odlyzko Conjecture and O'Hara's Unimodality Proof
• Solution of Two Difficult Combinatorial Problems with Linear Algebra
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• Kathy O'Hara's Constructive Proof of the Unimodality of the Gaussian Polynomials