A Schanuel Property for Exponetially Transcendental Powers

Bays, Martin and Kirby, Jonathan and Wilkie, A.J. (2009) A Schanuel Property for Exponetially Transcendental Powers. [MIMS Preprint]

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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 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations
MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory
Depositing User: Ms Lucy van Russelt
Date Deposited: 03 Oct 2009
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1311

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