Bounds on the exceptional set in the $abc$ conjecture

Christian Bernert, Tim Browning, Jared Duker Lichtman +1

We study solutions to the equation $a+b=c$, where $a,b,c$ form a triple of coprime natural numbers. The $abc$ conjecture asserts that, for any $\hat{I}\mu >0$, such triples satisfy $\mathrm…