Log-concavity of infinite product generating functions

DOI10.1007/s40993-022-00352-7OpenAlexW4289594507WikidataQ113891304 ScholiaQ113891304MaRDI QIDQ2164877

Markus Neuhauser, Bernhard E. Heim

Publication date: 18 August 2022

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

Full work available at URL: https://arxiv.org/abs/2202.00627

zbMATH Keywords

generating functionslog-concavitypartition numbers

Mathematics Subject Classification ID

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

Related Items (3)

Log concavity for unimodal sequences ⋮ Log-concavity of infinite product and infinite sum generating functions ⋮ On a new class of Laguerre-Pólya type functions with applications in number theory

Cites Work

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• Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
• Log-concavity of the partition function
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• ASYMPTOTIC PARTITION FORMULAE
• A Convergent Series for the Partition Function p ( n )

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