Submission date: 29 November 2021

Abstract:

In this paper we obtain three undecidable results for exponential diophantine equations over the field 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,...,x_8)=0 over ℚ with eight unknowns.

Mathematics Subject Classification: 11D61, 11U05, 03D35, 03D25

Keywords and phrases:

Full text arXiv 2112.00620: pdf, ps.