Inequalities for the overpartition function arising from determinants

DOI10.1016/j.aam.2023.102598arXiv2201.07840OpenAlexW4386266271MaRDI QIDQ6056551

Gargi Mukherjee

Publication date: 30 October 2023

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

Full work available at URL: https://arxiv.org/abs/2201.07840

zbMATH Keywords

determinantoverpartition2-log-concavity

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Matrices, determinants in number theory (11C20)

Cites Work

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• Log-concavity of the partition function
• Inequalities for the overpartition function
• Jensen polynomials and the Turán and Laguerre inequalities
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• Log-concavity of the overpartition function
• \(r\)-log-concavity of partition functions
• Hyperbolicity of the partition Jensen polynomials
• Finite difference of the overpartition function
• Finite differences of the logarithm of the partition function
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Overpartitions
• Determinantal inequalities for the partition function
• Higher order Turán inequalities for the partition function
• Jensen polynomials for the Riemann zeta function and other sequences
• On the Generating Functions of Totally Positive Sequences
• Positivity of the determinants of the partition function and the overpartition function

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