Poisson distribution for a sum of additive functions

DOI10.1007/s10440-007-9120-3zbMath1194.11084OpenAlexW2077315869MaRDI QIDQ996761

Jonas Šiaulys, Gediminas Stepanauskas

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9120-3

zbMATH Keywords

Poisson distributionadditive functionsfactorial moments

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions in probabilistic number theory (11K65)

Related Items (3)

Discrete uniform distribution for a sum of additive functions ⋮ Discrete uniform limit law for a sum of additive functions on shifted primes ⋮ Discrete uniform limit law for additive functions on shifted primes

Cites Work

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• Mean values of multiplicative functions on shifted numbers
• The convergence to the Poisson law. II: Unbounded strongly additive functions
• Convergence to the Poisson law. III: Method of moments
• The convergence to the Poisson law. I: Integer-valued additive functions
• An Erdos-Wintner Theorem for Differences of Additive Functions
• On the correlation of multiplicative and the sum of additive arithmetic functions
• On the distribution of arithmetical functions
• On the distribution of additive arithmetic functions
• On the Size of Certain Number-Theoretic Functions
• Generalized moments of additive functions

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