Baker's Explicit abc-Conjecture and applications

TL;DR

This paper leverages Baker's explicit abc-conjecture to address and resolve several longstanding conjectures in number theory, demonstrating the conjecture's broad implications.

Contribution

It applies Baker's explicit abc-conjecture to prove multiple conjectures, showcasing a novel approach to longstanding problems.

Findings

Resolved several conjectures using the explicit abc-conjecture

Demonstrated the power of Baker's version in number theory

Extended the implications of the abc-conjecture

Abstract

The conjecture of Masser-Oesterl\'e, popularly known as $abc$-conjecture have many consequences. We use an explicit version due to Baker to solve a number of conjectures.