Higher order Laguerre inequalities for the partition function

DOI10.1016/j.disc.2023.113366OpenAlexW4320890121MaRDI QIDQ2699934

Larry X. W. Wang, Li-Mei Dou

Publication date: 20 April 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113366

zbMATH Keywords

partition functionHardy-Ramanujan-Rademacher formulaLaguerre inequalityhigher order Laguerre inequalities

Mathematics Subject Classification ID

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

Cites Work

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• The generalized Laguerre inequalities and functions in the Laguerre-Pólya class
• Log-concavity of the partition function
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• On a new class of Laguerre-Pólya type functions with applications in number theory
• Laguerre inequalities for discrete sequences
• On the Series for the Partition Function
• On the Remainders and Convergence of the Series for the Partition Function
• Positivity of the determinants of the partition function and the overpartition function

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