We show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-1-6, author = {Jonathan Kirby}, title = {The rational field is not universally definable in pseudo-exponentiation}, journal = {Fundamenta Mathematicae}, volume = {233}, year = {2016}, pages = {79-88}, zbl = {06497295}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-1-6} }
Jonathan Kirby. The rational field is not universally definable in pseudo-exponentiation. Fundamenta Mathematicae, Tome 233 (2016) pp. 79-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-1-6/