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2009.59: A Schanuel Property for Exponetially Transcendental Powers

2009.59: Martin Bays, Jonathan Kirby and A.J. Wilkie (2009) A Schanuel Property for Exponetially Transcendental Powers.

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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.

Item Type:MIMS Preprint
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 11 Number theory
MIMS number:2009.59
Deposited By:Ms Lucy van Russelt
Deposited On:03 October 2009

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