Finite difference of the overpartition function

DOI10.1016/j.aam.2017.06.001zbMath1375.05026OpenAlexW2737487492MaRDI QIDQ2407390

Gary Y. B. Xie, Larry X. W. Wang, Andy Q. Zhang

Publication date: 29 September 2017

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2017.06.001

zbMATH Keywords

finite differenceinteger partitionoverpartitionlog-concave

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Combinatorial inequalities (05A20)

Related Items (6)

Inequalities for the overpartition function ⋮ Laguerre inequalities for discrete sequences ⋮ Inequalities for the overpartition function arising from determinants ⋮ Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang ⋮ Log-convexity and the overpartition function ⋮ Positivity of the determinants of the partition function and the overpartition function

Cites Work

• Infinitely log-monotonic combinatorial sequences
• Log-concavity of the partition function
• Gordon's theorem for overpartitions.
• Exact asymptotic formulas for the coefficients of nonmodular functions
• On the Lambert \(w\) function
• Jack superpolynomials, superpartition ordering and determinantal formulas
• Crystal bases of the Fock space representations and string functions
• Overpartition pairs and two classes of basic hypergeometric series
• Finite differences of the logarithm of the partition function
• A Remark on Stirling's Formula
• Differences of the partition function
• Asymptotic behavior of high‐order differences of the partition function
• On the differences of the partition function
• Finite Differences of the Partition Function
• Overpartitions
• Partition Asymptotics from Recursion Equations
• On the Remainders and Convergence of the Series for the Partition Function

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