On the average distribution of divisors of friable numbers

DOI10.1142/S1793042117500105zbMath1372.11093arXiv1511.09305WikidataQ114072003 ScholiaQ114072003MaRDI QIDQ3179511

Sary Drappeau

Publication date: 21 December 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09305

zbMATH Keywords

central limit theoremdivisorssaddle-point methodfriable numbers

Mathematics Subject Classification ID

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

Related Items (1)

Distribution laws of divisors of friable integers

Cites Work

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• Nicolaas Govert de Bruijn, the enchanter of friable integers
• Asymptotic behaviour of the kernel of an integer
• On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
• On the number of prime factors of integers without large prime divisors
• Sur le nombre des entiers sans grand facteur premier. (On the number of integers without large prime factor)
• Integers without large prime factors
• Friable integers: Turán-Kubilius inequality and applications
• Mean distribution law for the divisors of friable integers
• Statistical properties of friable integers
• An Erdös-Kac theorem for integers without large prime factors
• Sur Les Lois Locales De La Répartition Du k -Ième Diviseur D'un Entier
• Integers free of large prime factors and the Riemann hypothesis
• On the DDT theorem
• The distribution of smooth numbers in arithmetic progressions
• On Integers Free of Large Prime Factors
• Lois de répartition des diviseurs, 2
• Lois de répartition des diviseurs, 1
• Valeur moyenne des fonctions de Piltz sur les entiers sans grand facteur premier
• ON ULTRAFRIABLE INTEGERS
• Integers without large prime factors: from Ramanujan to de Bruijn

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