Limits of Jensen polynomials for partitions and other sequences

DOI10.1007/s00605-022-01714-0zbMath1505.11137arXiv2108.06775OpenAlexW4280555918MaRDI QIDQ2165642

Cormac O'Sullivan

Publication date: 22 August 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.06775

zbMATH Keywords

partitionsHermite polynomialslog-concavityJensen polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analytic theory of partitions (11P82)

Cites Work

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• Log-concavity of the partition function
• A Rademacher type formula for partitions and overpartitions
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• Log-concavity of the overpartition function
• Zeros of Jensen polynomials and asymptotics for the Riemann xi function
• A note on the higher order Turán inequalities for \(k\)-regular partitions
• The Jensen-Pólya program for various \(L\)-functions
• Hyperbolicity of the partition Jensen polynomials
• On the Continuous Dependence of the Roots of a Polynomial on its Coefficients
• Higher order Turán inequalities for the partition function
• Jensen polynomials for the Riemann zeta function and other sequences
• Partitions with a Restriction on the Multiplicity of the Summands

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