On a sequence formed by iterating a divisor operator

Let ℕ be the set of positive integers and let s ∈ ℕ. We denote by d s the arithmetic function given by d s ( n ) = ( d ( n )) s , where d ( n ) is the number of positive divisors of n . Moreover, for every l, m ∈ ℕ we denote by δ s,l,m ( n ) the sequence We present classical and nonclassical notes o...

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Bibliographic Details
Published in:Czechoslovak mathematical journal 2019-12, Vol.69 (4), p.1177-1196
Main Authors: Djamel, Bellaouar, Abdelmadjid, Boudaoud, Özer, Özen
Format: Article
Language:English
Subjects:
Analysis
Convex and Discrete Geometry
Mathematical analysis
Mathematical functions
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
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Summary:Let ℕ be the set of positive integers and let s ∈ ℕ. We denote by d s the arithmetic function given by d s ( n ) = ( d ( n )) s , where d ( n ) is the number of positive divisors of n . Moreover, for every l, m ∈ ℕ we denote by δ s,l,m ( n ) the sequence We present classical and nonclassical notes on the sequence ( δ s, l, m ( n )) m ⩾1, where l, n, s are understood as parameters.
ISSN:0011-4642
1572-9141
DOI:10.21136/CMJ.2019.0133-18