Finiteness properties of abc-equations c = a+b

Abstract

We classify integer abc-equations c = a + b (to be defined), according to their radical R(abc) and prove that the resulting equivalence classes contain only a finite number of such equations. The proof depends on a 1933 theorem of Kurt Mahler.

4 pages

References in corpus (1)

• The integer recurrence P(n)=a+P(n-phi(a)) I