Arithmetic dynamics and Generalized Fermat's conjecture

TL;DR

This paper explores a generalized Fermat's conjecture within arithmetic dynamics, providing evidence and extending it to a multi-indexed version, thus broadening the scope of classical number theory conjectures.

Contribution

It introduces a generalized Fermat's conjecture in arithmetic dynamics and extends it to a multi-indexed form, offering new perspectives and evidence.

Findings

Proposed a generalized Fermat's conjecture in arithmetic dynamics

Extended the conjecture to a multi-indexed version

Provided supporting evidence for the conjecture

Abstract

We propose generalized Fermat's conjecture in the framework of arithmetic dynamics, and give evidences. The multi-indexed version is added.