Proof of a conjecture about unimodal polynomials

DOI10.1016/0022-314X(89)90096-6zbMath0678.05002OpenAlexW2002862278WikidataQ123196650 ScholiaQ123196650MaRDI QIDQ1123892

Gert Almkvist

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(89)90096-6

zbMATH Keywords

Chebyshev polynomialsnumber of restrictive partitionsunimodal polynomial

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of partitions of integers (05A17) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (4)

Quelques exemples de suites unimodales en théorie des nombres ⋮ Unimodality of partition polynomials related to Borwein's conjecture ⋮ Free extensions and Lefschetz properties, with an application to rings of relative coinvariants ⋮ Polynomials with palindromic and unimodal coefficients

Cites Work

• Unnamed Item
• Representations of \(\text{SL}(2,\mathbb{C})\) and unimodal polynomials.
• On the unimodality of some partition polynomials
• Some aspects of groups acting on finite posets

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