Counting solvable $S$-unit equations

Abstract

We obtain upper bounds on the number of finite sets $\mathcal{S}$ of primes below a given bound for which various $2$ variable $\mathcal{S}$-unit equations have a solution.

References in corpus (3)

• Counting Smooth Solutions to the Equation A+B=C
• On the distribution of multiplicatively dependent vectors
• Many solutions to the $S$-unit equation $a+1=c$