# Diophantine Equations Involving the Euler Totient Function

## TL;DR

This paper investigates Diophantine equations that involve the Euler totient function and various numerical sequences such as factorials, powers, and Fibonacci numbers, aiming to find solutions or establish properties.

## Contribution

It introduces new results on the solvability and properties of Diophantine equations involving the Euler totient function and common sequences.

## Key findings

- Identified specific solutions for certain equations.
- Established new bounds and properties related to these equations.
- Extended previous results to broader classes of sequences.

## Abstract

We deal with various Diophantine equations involving the Euler totient function and various sequences of numbers, including factorials, powers, and Fibonacci sequences.