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math.PR2026
Power Partitions and Hayman Functions
José L. Fernández, Víctor J. Maciá
We prove, within the probabilistic framework of Khinchin families, that the generating function of partitions into -th powers is strongly Gaussian in the sense of Báez-Dua…
math.PR2024
Growth of power series with nonnegative coefficients, and moments of power series distributions
Alicia Cantón, José L. Fernández, Pablo Fernández +1
Any power series with nonnegative coefficients has an associated family of probability distributions supported on the nonnegative integers. There is a close connection between the…
math.PR2022
Large Powers asymptotics, Khinchin families and Lagrangian distributions
José L. Fernández, Víctor J. Maciá
This paper delves on the versatility of the theory of Khinchin families for asymptotic estimation. We show that in combination with Local Central Limit theorems for lattice variabl…