We characterize the unsolvable exponential polynomials over the exponential fields introduced by Zilber, and deduce Picard's Little Theorem for such fields.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm207-2-2,
author = {Paola D'Aquino and Angus Macintyre and Giuseppina Terzo},
title = {Schanuel Nullstellensatz for Zilber fields},
journal = {Fundamenta Mathematicae},
volume = {209},
year = {2010},
pages = {123-143},
zbl = {1207.03044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm207-2-2}
}
Paola D'Aquino; Angus Macintyre; Giuseppina Terzo. Schanuel Nullstellensatz for Zilber fields. Fundamenta Mathematicae, Tome 209 (2010) pp. 123-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm207-2-2/