Twin Nicomachean \(q\)-identities and conjectures for the associated discriminants, polynomials, and inequalities

DOI10.1142/9789811277375_0026MaRDI QIDQ6617146

Kenneth B. Stolarsky, Seon-Hong Kim

Publication date: 10 October 2024

zbMATH Keywords

partitions\(q\)-analogueszeros of polynomialsdiscriminantspower meansMolien seriessums of cubesNicomachean identitysquared triangular numbers

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Elementary theory of partitions (11P81) Special sequences and polynomials (11B83)

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