On the asymptotic behavior of the Dickman-de Bruijn function

DOI10.1007/BF01459513zbMath0786.11058MaRDI QIDQ1318143

Xuan Tizuo

Publication date: 12 April 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165143

zbMATH Keywords

delay differential equationasymptotic formulasDickman-de Bruijn function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (5)

The Most Frequent Values of the Largest Prime Divisor Function ⋮ Density functions for \texttt{QuickQuant} and \texttt{QuickVal} ⋮ Integers free of small prime factors in arithmetic progressions ⋮ Nicolaas Govert de Bruijn, the enchanter of friable integers ⋮ Integers without large prime factors

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, in arithmetic progressions. I
• On a class of differential-difference equations arising in number theory
• On Integers Free of Large Prime Factors
• The average order of $d_{k}(n)$ over integers free of large prime factors
• The Asymptotic Behavior of the Solutions of a Class of Differential-Difference Equations
• The Turán-Kubilius inequality for integers without large prime factors.
• Sur les puissances de convolution de la fonction de Dickman

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