Dirichlet product of derivative arithmetic with an arithmetic function multiplicative

2019/08/15 by Es-said En-naoui, En-naoui, Es-said
Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #General Mathematics (math.GM) #Mathematics and Applications #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1908.07345

openalex publication_date 2019/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the derivative of an integer to be the map sending every prime to 1 and satisfying the Leibniz rule. The aim of this article is to calculate the Dirichlet product of this map with a function arithmetic multiplicative.

Related

• The arithmetic derivative and Leibniz-additive functions
• Survey of Dirichlet Series of Multiplicative Arithmetic Functions
• Arithmetic Subderivatives and Leibniz-Additive Functions
• Investigations on the properties of the arithmetic derivative
• The Dirichlet series of the arithmetic derivative