Turán inequalities for \(k\)-th power partition functions

DOI10.1016/j.jmaa.2023.127678zbMath1530.11081MaRDI QIDQ6050992

Madhumita Paul, Brennan Benfield, Arindam Roy

Publication date: 19 September 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Turán inequalitieslog-concave sequenceJensen polynomialpower partition functions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Cites Work

• Log-concavity of the partition function
• Inductive and injective proofs of log concavity results
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• Log-concavity of the overpartition function
• Polynomial partition asymptotics
• Partitions into \(k\)th powers of terms in an arithmetic progression
• Turán inequalities for the plane partition function
• A note on the higher order Turán inequalities for \(k\)-regular partitions
• Hyperbolicity of the partition Jensen polynomials
• Squares: Additive questions and partitions
• Higher order Turán inequalities for the partition function
• Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser
• SOME OBSERVATIONS AND SPECULATIONS ON PARTITIONS INTO d-TH POWERS
• Jensen polynomials for the Riemann zeta function and other sequences
• The spt-function of Andrews
• On the Partition of Numbers into Squares
• Power partitions
• Detailed asymptotic expansions for partitions into powers

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