Sums of two cubes as twisted perfect powers, revisited

Michael A. Bennett, Carmen Bruni, Nuno Freitas

In this paper, we sharpen earlier work of the first author, Luca and Mulholland, showing that the Diophantine equation $$ A^3+B^3 = q^αC^p, \, \, ABC \neq 0, \, \, \gcd (A,B) =1, $…