A Schanuel property for exponentially transcendental powers

Bays, Martin, Kirby, Jonathan and Wilkie, A. J. (2010) A Schanuel property for exponentially transcendental powers. Bulletin of the London Mathematical Society, 42 (5). pp. 917-922. ISSN 0024-6093

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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: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Users 2731 not found.
Date Deposited: 10 Oct 2011 13:03
Last Modified: 30 Sep 2021 01:41
URI: https://ueaeprints.uea.ac.uk/id/eprint/34966
DOI: 10.1112/blms/bdq054

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