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arXiv · 1808.06557

A Survey on the Ternary Purely Exponential Diophantine Equation $a^x + b^y = c^z$

Maohua Le·Reese Scott·Robert Styer
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Abstract

Let $a$, $b$, $c$ be fixed coprime positive integers with $\min\{a,b,c\}>1$. In this survey, we consider some unsolved problems and related works concerning the positive integer solutions $(x,y,z)$ of the ternary purely exponential diophantine equation $a^x + b^y = c^z$.

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Maohua Le, Reese Scott, Robert Styer. 2018-08-20. A Survey on the Ternary Purely Exponential Diophantine Equation $a^x + b^y = c^z$. https://arxiv.org/abs/1808.06557

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