Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser

DOI10.1090/btran/77zbMath1487.11094arXiv2011.08874OpenAlexW3183657871WikidataQ123332585 ScholiaQ123332585MaRDI QIDQ5006985

Kathrin Bringmann, Ben Kane, Zack Tripp, Larry Rolen

Publication date: 18 August 2021

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.08874

zbMATH Keywords

partition functionlog-concavityTurán inequalitiescoloured partition functionfractional partitions

Mathematics Subject Classification ID

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

Related Items (12)

Turán inequalities for \(k\)-th power partition functions ⋮ Turán inequalities for the broken \(k\)-diamond partition functions ⋮ 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 ⋮ Partitions with multiplicities associated with divisor functions ⋮ Log concavity for unimodal sequences ⋮ Inequalities for plane partitions ⋮ Inequalities for the modified Bessel function of first kind of non-negative order ⋮ Inequalities for the broken \(k\)-diamond partition functions ⋮ Proof of the Bessenrodt-Ono inequality by induction ⋮ Turán inequalities for the plane partition function ⋮ THE SECOND SHIFTED DIFFERENCE OF PARTITIONS AND ITS APPLICATIONS

Uses Software

• DLMF

Cites Work

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