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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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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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