Higher order Turán inequalities for \(k\)-regular partitions

zbMath1447.05025MaRDI QIDQ2199813

William Craig, Anna Y. Pun

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2020//21.html

zbMATH Keywords

Hermite polynomials\(k\)-regular partitionsJensen polynomialshigher order Turán inequalities

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Asymptotic results on arithmetic functions (11N37) Elementary theory of partitions (11P81)

Cites Work

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• Log-concavity of the partition function
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• Hyperbolicity of the partition Jensen polynomials
• Higher order Turán inequalities
• Higher order Turán inequalities for the partition function
• Jensen polynomials for the Riemann zeta function and other sequences
• The spt-function of Andrews
• Partitions with a Restriction on the Multiplicity of the Summands