THE SECOND SHIFTED DIFFERENCE OF PARTITIONS AND ITS APPLICATIONS

DOI10.1017/S0004972722000764MaRDI QIDQ5879213

Joshua Males, Kevin Gomez, Larry Rolen

Publication date: 28 February 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11608

zbMATH Keywords

partitionasymptotic expansionconvexity

Mathematics Subject Classification ID

Analytic theory of partitions (11P82)

Cites Work

• Unnamed Item
• Asymptotic behavior of high-order differences of the plane partition function
• Generalization of Dyson's rank and non-Rogers-Ramanujan partitions
• Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions
• Exact formulae for the fractional partition functions
• A general method for proving the non-trivial linear homogeneous partition inequalities
• Hyperbolicity of the partition Jensen polynomials
• Finite differences of the logarithm of the partition function
• Differences of the partition function
• Asymptotic behavior of high‐order differences of the partition function
• Finite Differences of the Partition Function
• Nuclear partitions and a formula for $p(n)$
• Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser
• Jensen polynomials for the Riemann zeta function and other sequences
• Random partitions with non-negative \(r\)th differences

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