Rational solutions of polynomail-exponential equations
We give description of rational solutions of polynomial-equations.
math.NT↗
arXiv subjects
Ayhan Gunaydin
Publications and source records attributed to Ayhan Gunaydin.
Generic points on exponential curves
We show, assuming Schanuel's conjecture, that every irreducible complex polynomial in two variables where both variables appear has infinitely many algebraically independent solutions of the form (z,e^z).
math.NT↗
The real field with the rational points of an elliptic curve
We consider the expansion of the real field by the group of rational points of an elliptic curve over the rational numbers. We prove a completeness result, followed by a quantifier elimination result. Moreover we show that open sets definable in that structure are semialgebraic.
math.LO↗