An asymptotic formula for the variance of an additive function

DOI10.1007/BF01214818zbMath0493.10049MaRDI QIDQ1168359

Adolf Hildebrand

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173312

zbMATH Keywords

asymptotic formulavariance of additive function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions in probabilistic number theory (11K65)

Related Items (6)

Constantes de Turán–Kubilius friables: une étude numérique ⋮ Functional analysis and additive arithmetic functions ⋮ On the proximity of additive and multiplicative functions ⋮ The Second Central Moment of Additive Functions ⋮ Sur l'inégalité de Turán-Kubilius friable ⋮ Sharp bounds for the variance of linear statistics on random permutations

Cites Work

• Das Selbergsche Sieb für zahlentheoretische Funktionen. I
• Lois de répartition des diviseurs, 2
• On a Theorem of Hardy and Ramanujan
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