M. Langevin, EXTREMAL CASES FOR MASON THEOREM AND APPL ICATIONS OF THE (ABC) CONJECTURE, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 317(5), 1993, pp. 441-444
We give a construction to get the set of cases of equality in a form o
f Mason's Theorem [polynomial equivalent of the conjecture (abc)] and
we apply this last conjecture and this construction to obtain a precis
e evaluation of the greatest square free divisor of a product of neigh
bouring integers.