On the \(r\)-th root partition function. II.

DOI10.1016/j.jnt.2018.01.018zbMath1440.11194OpenAlexW2792797846MaRDI QIDQ1708093

Yong-Gao Chen, Ya-Li Li

Publication date: 4 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.01.018

zbMATH Keywords

Mellin transformpartition functionasymptotic formulaCauchy's integral formularoot partition

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Asymptotic results on arithmetic functions (11N37) Analytic theory of partitions (11P82)

Related Items (4)

A central limit theorem for integer partitions into small powers ⋮ On the kth root partition function ⋮ The anisotropic chiral boson ⋮ Lifshitz scaling, microstate counting from number theory and black hole entropy

Cites Work

• Unnamed Item
• On the \(r\)-th root partition function
• An explicit bound for the number of partitions into roots
• On the square-root partition function
• Asymptotische Aussagen über Partitionen
• On the Number of Factorizations of an Integer
• Limit theorems for the number of summands in integer partitions
• Power partitions

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