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math.LO2011★ 25 cited
Exponentially Closed Fields and the Conjecture on Intersections with Tori
Jonathan Kirby, Boris Zilber
We give an axiomatization of the class ECF of exponentially closed fields, which includes the pseudo-exponential fields previously introduced by the second author, and show that it…
math.LO2011★ 7 cited
The algebraic numbers definable in various exponential fields
Jonathan Kirby, Angus Macintyre, Alf Onshuus
We prove the following theorems: Theorem 1: For any E-field with cyclic kernel, in particular or the Zilber fields, all real abelian algebraic numbers are pointwise def…