On the proximity of additive and multiplicative functions

DOI10.7169/facm/2015.52.2.10zbMath1388.11067OpenAlexW1495341057MaRDI QIDQ1744836

Jean-Marie De Koninck, Patrick Letendre, Nicolas Doyon

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1434650885

zbMATH Keywords

multiplicative functionsadditive functionsnumber of distinct prime factors of an integer

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25)

Cites Work

• Unnamed Item
• On the estimation of the second central moment for any additive arithmetic functions
• Unimodality of the distribution of the number of prime divisors of an integer
• An asymptotic formula for the variance of an additive function
• Approximate formulas for some functions of prime numbers
• Multiplicative Functions with Non-Decreasing Normal Order

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