Submission date: 3 April 2012

Abstract:

We apply a result of J. Ax [On Schanuel's Conjectures, Annals of Mathematics 93 (1971), 252-268] to differential valued exponential fields. In particular, we establish Schanuel's conjecture regarding the transcendence degree of subfields of the Logarithmic-Exponential series field [Logarithmic-Exponential series by L. van den Dies, A. Macintyre, and D. Marker, Ann. Pure Appl. Logic 111 (2001), 61-113.]

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Full text arXiv 1204.0498: pdf, ps.