A Schanuel property for exponentially transcendental powers

Bays, Martin, Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 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

[thumbnail of A_Schanuel_property.pdf]
PDF (A_Schanuel_property.pdf)
Download (27kB) | Preview
[thumbnail of BLMS2010-Bays-917-22]
PDF (BLMS2010-Bays-917-22) - Published Version
Download (132kB) | Preview


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
UEA Research Groups: Faculty of Science > Research Groups > Logic
Depositing User: Users 2731 not found.
Date Deposited: 10 Oct 2011 13:03
Last Modified: 26 Mar 2023 06:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/34966
DOI: 10.1112/blms/bdq054


Downloads per month over past year

Actions (login required)

View Item View Item