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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

Submission date: 14 November 2008.


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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