A law of large numbers for arithmetic functions

DOI10.1090/S0002-9939-08-09517-8zbMath1155.60011OpenAlexW1989173635MaRDI QIDQ3600618

Yutaka Komatsu, Katusi Fukuyama

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09517-8

zbMATH Keywords

strong law of large numbersstrongly additive functions

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (3)

On the law of large numbers and arithmetic functions ⋮ On the strong law of large numbers and additive functions ⋮ Lois du logarithme itéré avec pondérations additives

Cites Work

• DISTRIBUTION FUNCTIONS OF ADDITIVE ARITHMETIC FUNCTIONS
• A law of the iterated logarithm for arithmetic functions
• Convergence of weighted averages of independent random variables

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