Publications > Preprint server > Preprint Number 686
Preprint Number 686
686. Vincenzo Mantova (with an Appendix by U. Zannier)
Generic solutions of polynomial exponential equations
Submission date: 5 February 2014.
We prove that, assuming Schanuel's conjecture, polynomial exponential equations in one variable and with complex coefficients must have generic solutions in the sense of Zilber. With the help of some recent results in Diophantine geometry, we obtain the result by proving that certain polynomial exponential equations have only finitely many rational solutions.
Mathematics Subject Classification: 11D61, 03C60
Keywords and phrases:
|Last updated: February 12 2014 04:31||Please send your corrections to:|