Some estimates in the \(L_p\) metric in the central limit theorem for additive functions

DOI10.1007/BF02465536zbMath0949.11038OpenAlexW2066310672MaRDI QIDQ1567716

A. Machyulis

Publication date: 5 December 2000

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465536

zbMATH Keywords

central limit theoremstandard normal distributionconvergence of the value distribution function of strongly additive functions to the normal law in the \( L^p\)-metricStrongly additive arithmetic functionthird absolute moment of additive functionsvariance of additive functions

Mathematics Subject Classification ID

Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)

Cites Work

• The probability theory of additive arithmetic functions
• High-Power Analogues of the Turán-Kubilius Inequality, and an Application to Number Theory
• Unnamed Item
• Unnamed Item

This page was built for publication: Some estimates in the \(L_p\) metric in the central limit theorem for additive functions