Number Theory

    

A Simple Proof of The ABC Conjecture

Authors: Oussama Basta

This work analyzes the ABC conjecture, which states that for any positive real number ε, there exists a constant Kε such that for all coprime positive integer triples (a, b, c) with a + b = c, c < Kε * rad(abc)^(1 + ε). We focus on the case where a > F, F > ε, and b = (a + F - ε), c = (a + F + ε), where F and ε are positive real numbers with F > ε.

Comments: 3 Pages.

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[v1] 2024-01-20 00:56:23

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