Khinchin families, set constructions, partitions and exponentials

DOI10.1007/s00009-023-02579-9arXiv2205.09577OpenAlexW4391454192WikidataQ128814559 ScholiaQ128814559MaRDI QIDQ6125381

Víctor J. Maciá, Alicia Cantón, Pablo Fernández, José Lúis Fernandez Perez

Publication date: 11 April 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.09577

zbMATH Keywords

power seriesexponentialsanalytic combinatoricsHayman class

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82) Limit theorems in probability theory (60F99)

Cites Work

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• Hardy-Ramanujan's asymptotic formula for partitions and the central limit theorem
• Asymptotic expansions for the coefficients of analytic generating functions
• Logarithmic combinatorial structures: A probabilistic approach
• Approximating the negative moments of the Poisson distribution.
• Khinchin families and Hayman class
• Asymptotic expansions for the coefficients of analytic functions
• Squares: Additive questions and partitions
• A Generalisation of Stirling's Formula.
• Power partitions

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