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math.LO2008★ 38 cited
Exponential algebraicity in exponential fields
Jonathan Kirby
I give an algebraic proof that the exponential algebraic closure operator in an exponential field is always a pregeometry, and show that its dimension function satisfies a weak Sch…
math.NT2008★ 20 cited
A Schanuel property for exponentially transcendental powers
Martin Bays, Jonathan Kirby, A. J. Wilkie
We prove the analogue of Schanuel's conjecture for raising to the power of an exponentially transcendental real number. All but countably many real numbers are exponentially transc…