Finiteness properties of abc-equations c = a+b
Number Theory
2012-12-19 v1
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.
Cite
@article{arxiv.1212.4280,
title = {Finiteness properties of abc-equations c = a+b},
author = {Constantin M. Petridi},
journal= {arXiv preprint arXiv:1212.4280},
year = {2012}
}
Comments
4 pages