A non-uniform estimate in the central limit theorem for sequences of strongly additive functions

DOI10.1023/A:1009857207237zbMath0940.11030OpenAlexW406538731MaRDI QIDQ1964788

A. Machyulis

Publication date: 24 July 2000

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009857207237

zbMATH Keywords

central limit theoremnormal distributionEsseen's inequalityconvergence of distribution functionsElliott-Timofeev theoremreal-valued strongly additive functionremainder term estimatesvalue distribution of additive arithmetic functions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Asymptotic results on arithmetic functions (11N37) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)

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