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arXiv · 0810.4457

A Schanuel property for exponentially transcendental powers

Martin Bays·Jonathan Kirby·A. J. Wilkie
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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.

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Martin Bays, Jonathan Kirby, A. J. Wilkie. 2008-10-24. A Schanuel property for exponentially transcendental powers. https://doi.org/10.1112/blms%2Fbdq054

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