Work

On the friable mean value of additive arithmetic functions

Year: 2025

Type: article

Abstract: Using the Turán–Kubilius inequality for y-friable integers proved by De la Brèteche and Tenenbaum. We provide, the friable mean value of the additive function f where f(n) is either $$ \tilde{\omega }(n)$$ or $$\tilde{\Omega }(n),$$ the number of distinct prime factors, the total number of prime factors p of a positive integer n such that $$s_q(p)\equiv a (\mathrm{mod\,}b) $$ $$(a,b\in {\mathbb {Z}}, b\geqslant 2)$$ and $$s_q(n)$$ denote the sum of the digits in base $$q\geqslant 2$$ of the positive integer n.

Source: Acta Universitatis Sapientiae Mathematica

DOI: 10.1007/s44426-025-00011-1

Authors: Walid Wannes, Hichem Zouari

Institutions: University of Sfax, Faculty of Sciences of Sfax, Sohar University, Institut Élie Cartan de Lorraine, Université de Lorraine

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,390

OpenAlex ID: W4412510564

FWCI: 3.445

Cites: 14

Cited by: 1

Related to: 10