Number Theory


A New Proof of the ABC Conjecture

Authors: Abdelmajid Ben Hadj Salem

In this paper, using the recent result that $c<rad(abc)^2$, we will give the proof of the $abc$ conjecture for $\epsilon \geq 1$, then for $\epsilon \in ]0,1[$. We choose the constant $K(\epsilon)$ as $K(\epsilon)=e^{\frac{1}{\epsilon^2} $. Some numerical examples are presented.

Comments: 7 Pages. Submitted to the Ramanujan Journal. Comments welcome.

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Submission history

[v1] 2019-06-04 03:57:36

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