A consequence of an effective form of the abc-conjecture
T. Cochrane and R. E. Dressler [CD] proved that the abc-conjecture implies that, for every > 0, the gap between two consecutive numbers A with two exceptions given in Table 2.
A new kind of Diophantine equations
A note on primes p with
About some Diophantine equations with restrictions.
Adjugates of Diophantine quadruples.
Algebraic independence by Mahler’s method and -unit equations
Algorithms for finding good examples for the and Szpiro conjectures.
An application of Hilbert's irreducibility theorem to diophantine equations
An explicit upper bound for the number of solutions of the S-unit equation.
An improved algorithm for the solution of integer programs by the solution of associated diophantine equations
Arithmetic over the rings of all algebraic integers.