Higher order log-concavity of the overpartition function and its consequences
DOI10.1017/s0013091523000093arXiv2204.07961OpenAlexW4362509123MaRDI QIDQ6156364
Ying Zhong, Gargi Mukherjee, Helen W. J. Zhang
Publication date: 13 June 2023
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.07961
log-concavityhigher order Turán inequalitiesoverpartition functionRademacher-type series\(r\)-log-concavity
Combinatorial aspects of partitions of integers (05A17) Asymptotic results on arithmetic functions (11N37) Combinatorial inequalities (05A20) Analytic theory of partitions (11P82) Error analysis and interval analysis (65G99)
Cites Work
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- Log-concavity of the partition function
- Inequalities for the overpartition function
- A Rademacher type formula for partitions and overpartitions
- Log-concavity of the overpartition function
- Asymptotic \(r\)-log-convexity and P-recursive sequences
- \(r\)-log-concavity of partition functions
- Hyperbolicity of the partition Jensen polynomials
- Finite differences of the logarithm of the partition function
- Overpartitions
- Determinantal inequalities for the partition function
- Higher order Turán inequalities for the partition function
- On the Coefficients of Certain Modular Forms Belonging to Subgroups of The Modular Group
- On the Remainders and Convergence of the Series for the Partition Function
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