Work

On the composition of the Euler function and the Dedekind arithmetic function

Year: 2025

Type: article

Abstract: Let [Formula: see text] and [Formula: see text], where [Formula: see text] is Euler’s function and [Formula: see text] is Dedekind’s arithmetic function. We obtain the maximal order of [Formula: see text], as well as the average orders of [Formula: see text] and [Formula: see text]. Furthermore, we prove a density theorem for both [Formula: see text] and [Formula: see text].

Source: International Journal of Number Theory

DOI: 10.1142/s1793042126500454

Authors: Aimin Guo, Huan Liu, Xiao Peng, Qiyu Yang

Institutions: Henan Normal University, Macau University of Science and Technology

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Natural Science Foundation of Henan Province

Award: G2332614614