Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang

DOI10.1007/s40993-022-00420-yOpenAlexW4313279387MaRDI QIDQ2679118

Gargi Mukherjee

Publication date: 19 January 2023

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

Full work available at URL: https://arxiv.org/abs/2204.00055

zbMATH Keywords

finite differencelog-concavityoverpartition

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Combinatorial inequalities (05A20) Analytic theory of partitions (11P82)

Cites Work

• Infinitely log-monotonic combinatorial sequences
• Log-concavity of the partition function
• Inequalities for the overpartition function
• Log-concavity of the overpartition function
• Finite difference of the overpartition function
• Log-convexity and the overpartition function
• Finite differences of the logarithm of the partition function
• Differences of the partition function
• Overpartitions

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