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Preprint Number 144

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144. Martin Bays, Jonathan Kirby, A. J. Wilkie
A Schanuel property for exponentially transcendental powers
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Submission date: 14 November 2008.

Abstract:

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 transcendental. We also give a more general result for several powers in a context which encompasses the complex case.

Mathematics Subject Classification: 11J91; 03C64

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Full text arXiv: pdf, ps.


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