On the Inverse Problem Relative to Dynamics of the w Function

TL;DR

This paper investigates the inverse problem related to the dynamics of the special arithmetic function w, aiming to understand its properties and behavior through mathematical analysis.

Contribution

It introduces new results on the inverse problem for the w function's dynamics, expanding understanding of this specific arithmetic function.

Findings

Derived new properties of the w function

Solved inverse problem for certain cases

Established connections to other arithmetic functions

Abstract

In this paper we shall study the inverse problem relative to dynamics of the w function which is a special arithmetic function and shall get some results.