The value distribution of additive arithmetic functions on a line

DOI10.1515/CRELLE.2010.037zbMath1210.11088MaRDI QIDQ3577935

Peter D. T. A. Elliott

Publication date: 13 July 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

Riesz meanslarge sieveLévy distancevalue distribution of additive arithmetic functionsconvergence to the normal lawcorrelation of multiplicative functionsrenormalization of additive functionsweak convergence of frequencies

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Arithmetic functions in probabilistic number theory (11K65)

Related Items (3)

HARMONIC ANALYSIS ON THE POSITIVE RATIONALS. DETERMINATION OF THE GROUP GENERATED BY THE RATIOS ⋮ Multiplicative functions that are close to their mean ⋮ Jonas Kubilius and probabilistic number theory some personal reflections

Cites Work

• Über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen. I
• Multiplicative Functions on Arithmetic Progressions. VII: Large Moduli
• An Asymptotic Formula in the Theory of Numbers
• An Erdos-Wintner Theorem for Differences of Additive Functions
• Additive Arithmetic Functions on Arithmetic Progressions
• Additive arithmetic functions on intervals
• Multiplicative Functions on Arithmetic Progressions: V. Composite Moduli
• On the concentration of additive functions
• On Vinogradov's mean value theorem
• ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II)
• Additive Arithmetical Functions and Statistical Independence

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