Study of the generalized von mangoldt function defined by L-additive function

TL;DR

This paper investigates the generalized von Mangoldt function through L-additive functions, aiming to extend understanding of classical arithmetic functions and their properties.

Contribution

It introduces a new approach to study the generalized von Mangoldt function using L-additive functions, providing novel insights into classical arithmetic functions.

Findings

Derived new properties of the generalized von Mangoldt function

Connected L-additive functions with classical arithmetic functions

Provided potential applications in number theory

Abstract

The main object of this paper is to study the generalized von mangoldt function using the L-additive function, which can help us give many result about the classical arithmetic function.