Functional limit theorems for additive arithmetic functions on intervals

DOI10.1007/BF00970938zbMath0829.11040OpenAlexW2055481413MaRDI QIDQ1897874

Eugenijus Manstavicius, Karl-Heinz Indlekofer

Publication date: 18 September 1995

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

Full work available at URL: https://doi.org/10.1007/bf00970938

zbMATH Keywords

stochastic processeslimiting distributionadditive functions

Mathematics Subject Classification ID

Stochastic processes (60G99) Functional limit theorems; invariance principles (60F17) Arithmetic functions in probabilistic number theory (11K65)

Cites Work

• Limiting distributions of additive functions in short intervals
• Localised value-distribution of additive arithmetic functions.
• Multiplicative Functions in Short Intervals
• A Note on the Distribution Function of Additive Arithmetical Functions in Short Intervals
• Additive arithmetic functions on intervals
• Distribution of the values of ω in short intervals
• On the mean values and distributions of arithmetic functions
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