A note on the higher order Turán inequalities for \(k\)-regular partitions

DOI10.1007/s40993-020-00228-8zbMath1456.05016arXiv1911.05264OpenAlexW3119633726MaRDI QIDQ2221691

William Craig, Anna Y. Pun

Publication date: 2 February 2021

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05264

zbMATH Keywords

error estimatespartition functionasymptotic analysisinteger partitionlog-concave sequence

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Elementary theory of partitions (11P81)

Related Items (7)

Limits of Jensen polynomials for partitions and other sequences ⋮ 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 ⋮ Exact formulae and Turán inequalities for Vafa–Witten invariants of surfaces ⋮ 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

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
• 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
• On an inequality of P. Turán concerning Legendre polynomials

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