On the law of large numbers and arithmetic functions

DOI10.1016/J.INDAG.2012.04.002zbMath1254.60030OpenAlexW2005218316MaRDI QIDQ441374

István Berkes, Wolfgang Müller, Michel J. G. Weber

Publication date: 23 August 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2012.04.002

zbMATH Keywords

strong law of large numbersadditive and multiplicative functionsweighted sums of i.i.d. random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (2)

Multiplicative functions, exponential sums and the law of large numbers ⋮ Ergodic theorems with arithmetical weights

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the strong law of large numbers and additive functions
• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• A law of the iterated logarithm for arithmetic functions
• A law of large numbers for arithmetic functions
• Lois du logarithme itéré avec pondérations additives
• On a Brun–Titchmarsh inequality for multiplicative functions
• Convergence of weighted averages of independent random variables

This page was built for publication: On the law of large numbers and arithmetic functions