A Hasse-type principle for exponential diophantine equations and its applications
Number Theory
2014-07-25 v1
Abstract
We propose a conjecture, similar to Skolem's conjecture, on a Hasse-type principle for exponential diophantine equations. We prove that in a sense the principle is valid for "almost all" equations. Based upon this we propose a general method for the solution of exponential diophantine equations. Using a generalization of a result of Erd\H{o}s, Pomerance and Schmutz concerning Carmichael's function, we can make our search systematic for certain moduli needed in the method.
Cite
@article{arxiv.1407.6499,
title = {A Hasse-type principle for exponential diophantine equations and its applications},
author = {Cs. Bertok and L. Hajdu},
journal= {arXiv preprint arXiv:1407.6499},
year = {2014}
}