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On exponential diophantine equations over mathbb Q with few unknowns
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On exponential diophantine equations over mathbb Q with few unknowns
classification
math.NT
math.LO
keywords
diophantineexponentialmathbbequationsunknownsalgorithmdecideeight
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In this paper we obtain three undecidable results for exponential diophantine equations over the field $\mathbb Q$ of rational numbers. For example, we prove that there is no algorithm to decide the solvability of a general exponential diophantine equation $F(x_1,\ldots,x_{8})=0$ over $\mathbb Q$ with eight unknowns.
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