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2012.2: A Schanuel property for exponentially transcendental powers

2012.2: A J Wilkie, Jonathan Kirby and Martin Bays (2010) A Schanuel property for exponentially transcendental powers. Bulletin of the London Mathematical Society, 42 (5). pp. 917-922.

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DOI: 10.1112/blms/bdq054

Abstract

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:Article
Uncontrolled Keywords:O-minimality,transcendental number theory
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 11 Number theory
MSC 2000 > 26 Real functions
MIMS number:2012.2
Deposited By:Prof Alex J Wilkie
Deposited On:05 January 2012

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