Distribution Laws of Smooth Divisors

zbMath1469.11376arXiv1806.05955MaRDI QIDQ5148718

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Publication date: 5 February 2021

Full work available at URL: https://arxiv.org/abs/1806.05955

zbMATH Keywords

friable numbers

Mathematics Subject Classification ID

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

Related Items (2)

Bivariate beta distribution and multiplicative functions ⋮ Dirichlet law for factorisation of integers, polynomials and permutations

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
• Mean distribution law for the divisors of friable integers
• The Convolution Powers of the Dickman Function
• Sur les puissances de convolution de la fonction de Dickman
• Lois de répartition des diviseurs, 1
• Moyennes de certaines fonctions multiplicatives sur les entiers friables
• Valeur moyenne des fonctions de Piltz sur les entiers sans grand facteur premier
• Sur les processus arithmétiques liés aux diviseurs

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