An explicit bound for the number of partitions into roots

DOI10.1016/j.jnt.2016.05.017zbMath1343.05031OpenAlexW2465046799MaRDI QIDQ739289

Dimbinaina Ralaivaosaona, Florian Luca

Publication date: 18 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.05.017

zbMATH Keywords

Mellin transformasymptotic estimatesaddle point methodinteger partition

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)

Related Items (7)

Note on square-root partitions into distinct parts ⋮ Higher rank motivic Donaldson–Thomas invariants of via wall-crossing, and asymptotics ⋮ A central limit theorem for integer partitions into small powers ⋮ On the \(r\)-th root partition function. II. ⋮ On the kth root partition function ⋮ The anisotropic chiral boson ⋮ Lifshitz scaling, microstate counting from number theory and black hole entropy

Cites Work

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• A Meinardus theorem with multiple singularities
• An improved explicit bound on \(| \zeta(\frac{1}{2} + i t) |\)
• Mellin transforms and asymptotics: Harmonic sums
• On the square-root partition function
• Asymptotische Aussagen über Partitionen
• On the Number of Factorizations of an Integer

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