Turán inequalities for the plane partition function

DOI10.1016/j.aim.2022.108692zbMath1504.11110arXiv2201.01352OpenAlexW4296067621WikidataQ114211397 ScholiaQ114211397MaRDI QIDQ2089663

Larry Rolen, Ken Ono, Sudhir Pujahari

Publication date: 24 October 2022

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

Full work available at URL: https://arxiv.org/abs/2201.01352

zbMATH Keywords

log-concavityTurán inequalitiesplane partition function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Analytic theory of partitions (11P82)

Related Items (9)

Turán inequalities for \(k\)-th power partition functions ⋮ Turán inequalities for the broken \(k\)-diamond partition functions ⋮ Asymptotics, Turán inequalities, and the distribution of the BG-rank and 2-quotient rank of partitions ⋮ Higher order Turán inequalities for the distinct partition function ⋮ Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality ⋮ Log concavity for unimodal sequences ⋮ Asymptotic equidistribution for partition statistics and topological invariants ⋮ Log-concavity of infinite product and infinite sum generating functions ⋮ Inequalities for the broken \(k\)-diamond partition functions

Uses Software

• DLMF

Cites Work

• 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
• Inequalities for plane partitions
• ASYMPTOTIC PARTITION FORMULAE
• Higher order Turán inequalities for the partition function
• Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser
• Jensen polynomials for the Riemann zeta function and other sequences
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