Squarefree integers and the $abc$ conjecture

Zenon B. Batang

For coprime positive integers $a,b,c$, where $a+b=c$, $\gcd (a,b,c)=1$ and $1\le a<b$, the famous $abc$ conjecture (Masser and Oesterlè, 1985) states that for $\epsilon >0$…