On additive arithmetic functions f(n) for which \(f(an+b)-f(cn+d)\) is bounded

DOI10.1016/0022-314X(83)90059-8zbMath0532.10031MaRDI QIDQ788767

Peter D. T. A. Elliott

Publication date: 1983

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

additive functionscharacterization of logarithm

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic functions in probabilistic number theory (11K65)

Cites Work

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• On the distribution of the roots of certain congruences and a problem for additive arithmetic functions
• On the distribution function of additive functions
• The law of large numbers for additive arithmetic functions
• On the differences of additive arithmetic functions
• Sums and differences of additive arithmetic functions in mean square.

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