Average distribution of certain arithmetic functions on the set of integers without large prime factors

DOI10.5802/jtnb.425zbMath1076.11051OpenAlexW2331808513MaRDI QIDQ558166

Mongi Naimi

Publication date: 30 June 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_3_745_0

zbMATH Keywords

multiplicative functionsintegers without large prime factorsasymptotic formulaeequivalence of two sums

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (1)

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Cites Work

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• On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
• Integers without large prime factors
• The Convolution Powers of the Dickman Function
• On the number of integers n such that nd(n) ≤ x
• The Asymptotic Behavior of the Solutions of a Class of Differential-Difference Equations
• Sur les puissances de convolution de la fonction de Dickman
• Distribution of values of some multiplicative functions over integers free of large prime factors
• Moyennes de certaines fonctions multiplicatives sur les entiers friables
• Valeur moyenne des fonctions de Piltz sur les entiers sans grand facteur premier

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