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arXiv · 1407.6499

A Hasse-type principle for exponential diophantine equations and its applications

Cs. Bertok·L. Hajdu
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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 Erdős, Pomerance and Schmutz concerning Carmichael's $λ$ function, we can make our search systematic for certain moduli needed in the method.

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Cs. Bertok, L. Hajdu. 2014-07-24. A Hasse-type principle for exponential diophantine equations and its applications. https://arxiv.org/abs/1407.6499

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