On the friable mean-values of some arithmetic functions

Let S(w, z) denote the set of integers up to w whose prime factors are all at most z. We study the average behavior of certain multiplicative arithmetic functions on the elements of S(w, z) and establish estimates for these averages.

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Publication Details

Journal
Journal of Discrete Mathematical Sciences and Cryptography
Published
2025-01-01
DOI
https://doi.org/10.47974/jdmsc-2283
Primary Topic
Functional Equations Stability Results
Type
article
Field-Weighted Citation Impact
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article

On the friable mean-values of some arithmetic functions

Walid Wannes, Ahmed Gaber, Hichem Zouari
Journal of Discrete Mathematical Sciences and Cryptography
Functional Equations Stability Results
article

On the friable mean-values of some arithmetic functions

Walid Wannes, Ahmed Gaber, Hichem Zouari
article en

Abstract

Let S(w, z) denote the set of integers up to w whose prime factors are all at most z. We study the average behavior of certain multiplicative arithmetic functions on the elements of S(w, z) and establish estimates for these averages.

Journal of Discrete Mathematical Sciences and CryptographyVol. 28(6)
Openalex Percentile: Top 64%
Functional Equations Stability Results
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On the friable mean-values of some arithmetic functions — Walid Wannes, Ahmed Gaber, et al. · Journal of Discrete Mathematical Sciences and Cryptography (2025) | TGRS Research Map | TGRS