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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 44, Issue 1, Pages 15 - 30 (October 2019)
http://dx.doi.org/10.17654/NT044010015

ON THE EXPONENTIAL DIOPHANTINE EQUATION

Shivangi Asthana and Madan Mohan Singh

Abstract:

In this paper, we consider the Diophantine equation We show that the equation has no positive integer solutions using a result of Bilu et al. [13].

Keywords and phrases:

exponential Diophantine equation, integer solutions, theorem of Catalan-Mihailescu.

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