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Finiteness properties of abc-equations c = a+b

Authors
  • Petridi, Constantin M.
Type
Preprint
Publication Date
Dec 18, 2012
Submission Date
Dec 18, 2012
Identifiers
arXiv ID: 1212.4280
Source
arXiv
License
Yellow
External links

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.

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