Positivity of the determinants of the partition function and the overpartition function

DOI10.1090/mcom/3810OpenAlexW4311472907MaRDI QIDQ5879124

Neil N. Y. Yang, Larry X. W. Wang

Publication date: 24 February 2023

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3810

zbMATH Keywords

partition functionlog-concavitydeterminant inequalityoverpartition functiontotal-positivityRadmacher-type series

Mathematics Subject Classification ID

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

Related Items (2)

Inequalities for the overpartition function arising from determinants ⋮ Higher order Laguerre inequalities for the partition function

Cites Work

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• \(r\)-log-concavity of partition functions
• Zeros of Jensen polynomials and asymptotics for the Riemann xi function
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• On a new class of Laguerre-Pólya type functions with applications in number theory
• Hyperbolicity of the partition Jensen polynomials
• Finite difference of the overpartition function
• Karlin's conjecture and a question of Pólya
• Yet another machine experiment in support of Riemann's conjecture
• The Riemann Hypothesis and the Turan Inequalities
• 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 Series for the Partition Function
• On the Coefficients of Certain Modular Forms Belonging to Subgroups of The Modular Group
• Conjectures and theorems in the theory of entire functions

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