Some inequalities for \(k\)-colored partition functions

DOI10.1007/s11139-017-9989-zzbMath1395.05018arXiv1709.06735OpenAlexW2962683034WikidataQ130107425 ScholiaQ130107425MaRDI QIDQ1656807

Shane Chern, Shishuo Fu, Dazhao Tang

Publication date: 10 August 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06735

zbMATH Keywords

partitionpartition inequalitymultiplicative property

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (13)

Parity biases in partitions and restricted partitions ⋮ Polynomization of the Bessenrodt-Ono inequality ⋮ Turán inequalities for the broken \(k\)-diamond partition functions ⋮ Polynomization of the Liu-Zhang inequality for the overpartition function ⋮ Berkovich-Uncu type partition inequalities concerning impermissible sets and perfect power frequencies ⋮ Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality ⋮ Inequalities for plane partitions ⋮ Inequalities for the modified Bessel function of first kind of non-negative order ⋮ Unnamed Item ⋮ Polynomization of the Chern-Fu-Tang conjecture ⋮ Proof of the Bessenrodt-Ono inequality by induction ⋮ Variants of an partition inequality of Bessenrodt-Ono ⋮ Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser

Cites Work

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• Maximal multiplicative properties of partitions
• Multiplicative properties of the number of \(k\)-regular partitions
• Log-concavity of the partition function
• On a generalized crank for \(k\)-colored partitions
• Combinatorial proof of a partition inequality of Bessenrodt-Ono
• Dyson's partition ranks and their multiplicative extensions

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